When I entered my mosque I leaved my shoes. When I backed after my prayer I found there were 4 similar kinda pairs of shoes with same size and all of them are newly bought (may be discount running on same model). So, how many combination(s) of pair of shoes is not of mine? Definitely I want only my pairs back.
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There were 4 pairs ...
12
34
56
78
here assuming, odd numbers are shoes of left leg and even numbers are shoes of right leg. Now each odd numbers can make pair with any of 4 even numbers. So total combination of pair we can make is 4*4 = 16. And only one pair is mine. So The number of pair that is not mine is 16-1=15. :)