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In a group of 15 women, 7 have nose studs, 8 have ear rings an

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In a group of $15$ women, $7$ have nose studs, $8$ have ear rings and $3$ have neither. How many of these have both nose studs and ear rings?

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Sophia Discussed

In a group of

15

women,

7

have nose studs,

8

have ear rings and

3

have neither. How many of these have both nose studs and ear rings?

5 mins ago

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Text solutionVerified

let A ,B,C be the women who have ear rings,nose studs and wear neither ring nor nose studs.

Total number of students=15

n (A \cup B) = 15 - n (C)

n (A \cup B) = 15 - 3

n (A \cup B) = 12

n (A \cap B) = n (A) + n (B) - n (A \cup B)

= 8 + 7 - 12 = 15 - 12 = 3

So the number of students who have bothstuds and rings equal to 3.

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Question Text	In a group of $15$ women, $7$ have nose studs, $8$ have ear rings and $3$ have neither. How many of these have both nose studs and ear rings?
Answer Type	Text solution:1
Upvotes	150