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In a fraternity with 32 members, 18 take mathematics, 5 take both mathematics and literature, and 8 take neither mathematics nor literature. How many take literature but not mathematics?

2 Answers

7 votes

Answer:

1 member took literature but not mathematics.

Explanation:

User Calcutta
by
5.6k points
5 votes

Answer:

1 member took literature but not mathematics.

Explanation:

We can draw a Venn diagram for the given question.

In a fraternity total number of members = 32

Number of members who took mathematics M = 18

Number of members who took both mathematics and literature (M∩L) = 5

And number of members who took neither mathematics nor literature = 8

Therefore, number of members who took literature but not mathematics

= 32 - [(18 + 5) + 8]

= 32 - [23 + 8]

= 32 - 31

= 1

Therefore, 1 member took literature but not mathematics.

In a fraternity with 32 members, 18 take mathematics, 5 take both mathematics and-example-1
User Mistertee
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5.4k points