In a group of 65 people 40 like cricket

Asked by admin @ 11/08/2021 in Math viewed by 303 People

In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

NCERT Solutions for Class 11th Mathematics Chapter 1 Exercise 1.6 7

Answered by admin @ 11/08/2021

Answer: 25 people like tennis only and not cricket.

35 people like tennis.

Step-by-step explanation:

n(C) = 40

n(C intersection T) = 10

n(CUT) = 65

USING SET FORMULA ,

n(T) = n(CUT) - n(C) + n(C intersection T)

= 65-40+10

= 35.

therefore 35 people like tennis.

n(T-C) = 35-10

= 25.

hence, 25 people like only tennis and not cricket

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