At 56-Dukkan in Indore out of 120 people 60 people likes pav-bhaji, 40 people like chole-kulche and 25 like both. Find the number of people who neither like pav-bhaji nor chole-kulche.?

Question

At 56-Dukkan in Indore out of 120 people 60 people likes pav-bhaji, 40 people like chole-kulche and 25 like both. Find the number of people who neither like pav-bhaji nor chole-kulche.?

35
40
50
45

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : 45

Given:

People likes pav-bhaji = 60

People likes chole-khulche = 40

People like both = 25

Formula used:

n(A) + n(B) – n(A∩B) = n(A∪B)

Calculation:

Let pav-bhaji be A and chole-khulche be B

n(A∩B) = 25, n(A) = 60, n(B) = 40, n(A∪B) = X

Now,

n(A) + n(B) – n(A∩B) = n(A∪B)

⇒ 60 + 40 – 25 = X

⇒ x = 100 – 25

⇒ x = 75

Neither like pav-bhaji and chole-khulche

⇒ 120 – 75

⇒ 45

∴ The answer is 45

Shortcut Trick

Calculaion:

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