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In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A. 

6/7

B. 

19/21

C. 

7/31

D. 

5/21

Answer
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Answer with explanation

Answer: Option C

Explanation

Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁)

As remaining person can be any one among three couples left.

Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅
= (10 x 6)/252 = 5/21

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