A closet contains four pairs of shoes. If four shoes are chosen at random, what is the probability that the chosen shoes do not contain a pair?

Answer :

Step 1 of 2 :

A cupboard contains four pairs of shoes.

If four shoes chosen at random ,then the claim is to find the probability that the shoes do not contain a pair.

We know that 4 pair of shoes contains 8 shoes.

The number of combinations is =

=

Where, n= 8 and r = 4

Therefore, =

=

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