An examination paper consists of 12 questions divided into two parts A and B.
Part A contains 7 questions and Part B contains the remaining questions. A candidate required to attempt 8 questions selecting at least 3 from each part. In how many ways can the candidate select the question​

Answers

Answer 1

Answer:

420 ways

Step-by-step explanation:

There are 3 possible scenarios

1) 5 questions from A and 3 questions from B:

[tex]_7C_5*_5C_3=7!/5!2!*5!/3!2! = (6*7)/2*(4*5)/2=210[/tex]

2) 4 questions from each part:

[tex]_7C_4*_5C_4=7!/4!3!*5!/4!1! = (5*6*7)/(2*3)*5=175[/tex]

3) 3 questions from A and 5 questions from B:

[tex]_7C_3*_5C_5=7!/4!3!*1 = (5*6*7)/(2*3)=35[/tex]

Total number of ways:

210 + 175 + 35 = 420
Answer 2

Answer:

Student has to do 8 questions such that he does at least 3 questions from both the sets

How can he go about (Set I, Set II)  =(3,5) or (4,4) or (5,3)

So, total number of ways of doing this is given by 

[tex]5c_{3} \times 7c_{5} + 5c_{4} \times 7c _{4} + 5c_{5} \times 7c _{3}[/tex]

[tex] = (10)(21) + (5)(35) + (1)(35) = 210 + 210 = 420[/tex]

(ノ^_^)ノ


Related Questions

FIND X. Just type the number.
what does 3x mean?
and can you solve this equation?

Answers

Answer:

The diagram shows a right angle  3 x = 90 so x = 30

Or x + 3 x = (180 - 60) = 120

And again x = 30 deg

What is an algebraic expression for "40 more than b?

Answers

Answer:

40 + b

Step-by-step explanation:

40 more than b = 40 + b

the answer is x=40+b

brainliest?

3. Determine whether each relationship is a function. Explain

Answers

Yes! A function is where every input has exactly one output!

Determine the equation of the line perpendicular to y = 1 - 1/4x and passing through the point (-3,5)

please I need help!!!!​

Answers

Answer:

y = 4x + 17

Step-by-step explanation:

y = 1 - 1/4x = - 1/4 x + 1 .... slope -1/4

perpendicular line slope = - (1 / (-1/4) = 4

pass (-3,5): (y-5) / (x - -3) = 4

y-5 = 4x + 12

y = 4x + 17

Solve the formula for the variable h.
f= 5gh
h=[

Answers

Given the formula, f = 5gh

To solve for h:

Factor out h from the right-hand side of the equation:

f = h(5g)

Divide both sides by (5g):

f /(5g) = h(5g)/(5g)

f/5g = h


Please mark my answers as the Brainliest if you find my explanations helpful :)

62 points! a bus traveled on a level road for 3 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 6 hours. Find the average speed on the levelroad if the entire trip was 482 miles.

Answers

Answer:

≈ 66.89 mph

Step-by-step explanation:

Let the average speed on the level road was x.

Then the average speed on the winding road was x - 20.

The total distance is:

3x+ 6(x - 20) = 4823x +  6x - 120 = 4829x = 482 + 1209x = 602x = 602/9x ≈ 66.89 mph

Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2.2.3.5).
23
hlp plz this is really hard

Answers

Answer:

16 =2^4

Step-by-step explanation:

16

16 = 4*4

but 4 is not prime

4 = 2*2

16 = 2*2*2*2

Rewriting with exponents

16 =2^4

Answer:

→ Prime factorization of 16 :

16 = 2 × 2 × 2 × 216 = 2⁴; in the form b = aⁿhere, n = 4 is the exponent and a = 2 is the prime factor16 = 2⁴ is the right answer.

10. In the figure to the right, AB is parallel to CD. Which statement proves that 23 = 277
A. If two parallel lines are cut by a transversal, the alternate interior angles are congruent.
B. If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.
.If two parallel lines are cut by a transversal, the corresponding angles are congruent.
D. If two parallel lines are cut by a transversal, the vertical angles are congruent.

Answers

Answer:

The answer is what I assume to be C. If two parallel lines are cut by a transversal, the corresponding angles are congruent

Step-by-step explanation:

Where is the image for this?

Hope this helped. ;)

help me with this sum I will mark you as brainiest ​

Answers

Answer: 195

176

888

173

199

can u pls give brainliest

f we randomly choose TWO cards without replacement, what is the probability that we’ll get only one King? [ Select ] If we randomly choose THREE cards without replacement, what is the probability that we’ll get exactly two Red cards? [ Select ] If we randomly choose FOUR cards without replacement, what is the probability that we’ll get exactly one Face card? [ Select ]

Answers

Three cards the. It had to. Be more that they have says too you know

gsgs helpppp.plssssss​

Answers

26 total pupils
60-21-9-4=26
The total amount of people liking cola would be 26. 14 female and 12 males.

Use the variable j to represent jennys age

Answers

Sum is addition.

Twice Jenny’s age would be multiplying her age by 2.

Answer: 13 + 2j

A missile uses an internal computer clock to measure time in tenths of a second. The missile guidance system needs the time from launch, in seconds, in order to calculate its distance from the launch site. It obtains this by multiplying the computer clock time by 0.1. So, for example, a reading of 50 tenths of a second is 5 seconds. For one particular missile system, the conversion factor of 0.1 is stored in 8 bits as the binary number 0.000110012.

The missile’s internal computer clock shows 200 tenths of a second. Convert this to seconds using your result from Part (i) of this question. Do not round your answer. The missile guidance system now records that it has travelled for this number of seconds.

Answers

Using proportions, it is found that the missile's internal computer clock is of 20 seconds.

According to the information given, this question can be solved by proportions, using a rule of three.

50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:

50 tenths - 5 seconds

200 tenths - x seconds

Applying cross multiplication:

[tex]50x = 5(200)[/tex]

[tex]50x = 1000[/tex]

[tex]x = \frac{1000}{50}[/tex]

[tex]x = 20[/tex]

The missile's internal computer clock is of 20 seconds.

A similar problem is given at https://brainly.com/question/24372153

5634 ÷ 18 and show work

Answers

Answer:

313

Step-by-step explanation:

Hope this helps! Pls give brainliest!

A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50

Answers

Answer:

B

Step-by-step explanation:

28+25+29+18 = 100

red = 25

25/100     =    1/4

The required empirical probability is 1/4 which gets the color of red P(R).

What is probability?

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get

28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes

To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:

P(R) = 25 red outcomes / 100 spins

Apply the division operation, and we get

P(R) = 1/4

Hence, the required empirical probability is 1/4

Therefore, the correct answer is 1/4 or option B.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

QUESTION 18
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using was the number of units used in a month and y as the total
monthly cost, write an equation that fits this problem.

Answers

Answer:

y = 0.64w + 12.60

Step-by-step explanation:

This is a linear relationship y= mx + b and:

The y-intercept is b = 12.60The slope is m = 0.64

The monthly total is:

y = 0.64w + 12.60

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

x = -7 —> f(x) =4

x = -1 —> f(x) = 4

x=2 —> f(x) = 4

I hope I helped you^_^

Jesse roasted 12 marshmallows in 4 minutes. How many marshmallows could she roast in 7 minutes?

Answers

Step-by-step explanation:

hi if you don't know a answer for a question you can use the app called.... maths scanner

Find the difference,
832 - 675

Answers

Answer:

157

Step-by-step explanation:

157 would be you're asnwer

please tell me If u got u right or if its incorrect

157 is the answer. Just go to your calculator dummy if you don’t believe me.

Dennis Hausearns $67,000 per year as a business manager. His exemptions
include himself, his wife, and their daughter. The state tax rate in his state is
3.5% of taxable income. Find the state tax withheld using the following figure.
Exemptions
Single
$1,500
Married $3,000
Each Dependent $1,500
$2,142.32
$2,361.50
$2,187.50
$2,237.50

Answers

Answer: $2,187.50

Step-by-step explanation:

Define all the exemptions that applie:

exemption for being married:  $3000

exemption for 1 dependent:     $ 1,500

3000 + 1500 = 4500

Subtract the exemptions from the yearly earnings:

67000 - 4500 = 62,500

Now, applied the 3.5 % tax

3.5 / 100 = (0.035)

62,500 x 0.035 = 2187.50

Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 61/3

Answers

Answer:

6.03, 6.2, 6 2/5, 61/3

Step-by-step explanation:

6.03

6 2/5 = 6.4

6.2

61/3 ≈ 20.33

Jack had m that problems to complete during his vacation. He solved the same number of problems every day and finished them all in 5 days. How many problems did Jack solve per day?

Answers

Answer: 1 problem per day

Step-by-step explanation:

m/5 problems completed in 5 days.

substite m with 5 because 5 days

5/5

5/5=1

Therefore Jack solved 1 question per day.

The number of problems Jack solve per day is 4 problems.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Number of days= 5days

Now,

To find how many problems Jack solved per day, we need to divide the total number of problems by the number of days. This is because he solved the same number of problems every day. So, we can write an equation as:

m / 5 = p

where m is the total number of problems and p is the number of problems per day.

To solve for p, we need to multiply both sides of the equation by 5 and get:

p = m

This means that Jack solved m problems per day.

For example, if m = 20, then Jack solved 20 / 5

= 4 problems per day.

Therefore, by algebra the answer will be 4.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

If cost is represented by C(x)=1.8x+10,000 and revenues are represented by R(x)=8.5x, which equation could be used to find the break-even point?

Answers

Answer:

8.5x=1.8x+10,000

Step-by-step explanation:

The break-even point is the point where the expressions for the functions have the same value: 8.5x=1.8x+10,000.

HELP
match the function with its inverse​

Answers

Answer:

1st row 3 down

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLATO

What is the simple interest on a principal of $4,200 invested at an interest rate of
8% for 3.5 years?

Answers

Answer:

$1176

Step-by-step explanation:

4200 x 0.08 x 3.5 = $1176

solve this equation
3/7x+5=-4/7x-3

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]\frac{3}{7} x + 5 = \frac{-4}{7} x - 3\\5 = -1x-3\\8 = -1x\\-8 = x[/tex]

The answer is x= -1/8

What is 4 x 3 to the 2nd power

Answers

4 x 3 = 12, and
12 to the power of 2 (12 x 12) is 144.

Find the perimeter of a triangle with sides of 12 inches, 14 inches, and 16 inches.

Answers

Answer: 42 inches

Step-by-step explanation:

a+b+c=perimeter

12+14+16=42 inches

Perimeter of the triangle = (12 + 14 + 16) inches

= 42 inches

Write your own problem, and solve it. Be ready to share the question tomorrow.

Answers

Answer: 1,409.737566825

1.785 * 789.768945 = 1,409.737566825

Step-by-step explanation:


7) Find the equation of a line that passes through the points (2, 16) and (-1, 7).

Answers

Answer:

y=3x+10

Step-by-step explanation:

7-16=-9

-1-2=-3

-9/-3=3

m=3

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