How many days will this work

Probability Level pending

There is a man who has to wear new clothes on every working day.

He has 7 pair of pants , 6 shirts, 4 pair of shoes, 8 pair of socks.

How many days can he work with these clothes

Note:A change in only one clothing item will make his work.


The answer is 1344.

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1 solution

Bhavik Bansal
Jul 3, 2015

This is a simple combinatorics problem.

Formula is product of all options that is 6 7 4*8=1344

But practically for every one pant he has 7 options of shirt and for every shirt he has 4 options for shoes and for every shoe 8 options for socks

So the answer stays 1344

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