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### Permutation and Combination - Quant/Math - CAT 2016

Question 4 the day: November 18, 2003

The question for the day is from the topic Permutation and Combination.

Question:
Badri has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair?

(1) (2*9C2 * 9C1) / 18C3
(2) (9C2 * 9C1) / 18C3
(3) 1
(4) None of these

Solution:

If he picks any of the three socks invariably any two of them should match. Hence the probability is 1.

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