Mathematics High School

In an examination of final year students of a school, 60 offered history, 50 offered economics, and 48 literature. 30 offered history and economics 16 offered history and literature, 22 offered economics and literature. If 10 candidates offered all the 3 subjects find the number that offered:

1)

a) History only

b) Economics only

c) Literature only

2) How many candidates sat for the examination assuming that each candidate sat for at least one subject.

REPRESENT IN VENN DIAGRAM

Answers

Answer 1

Answer:

Step-by-step explanation:History(H),Economics(E),Literature(L)

1a).To find History(H) only is

H only =H-HE-HL+HEL

H only =60-30-16+10=24

b).E only=50-30-22+10=8

c). L only=48-22-16+10=20

2).no of candidates who sat for the exam is 24+8+20=52

Answer 2

"In an examination of final year students of a school, 60 offered history, 50 offered economics, and 48 literature." The Vein diagram is attached below.

What is a Vein diagram?

A Venn diagram is a diagram that utilizes circles to demonstrate the similarities and contrasts between two or more items.

Generally, the equation for History students only is mathematically given as

HisO=His-His Eco-His Lie+HisEcoLie

Therefore

HisO=60-30-16+10

HisO=24

EcoO=50-30-22+10

EcoO=8

LieO=48-22-16+10

LieO=20

In conclusion, candidates that sat for at least one subject

At least HEL= 24+8+20

At least HEL=52

Read more about the vein diagram

https://brainly.in/question/24703602

#SPJ6

In An Examination Of Final Year Students Of A School, 60 Offered History, 50 Offered Economics, And 48

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