14X′s have to be placed in the squares of the above figure such that each row contains at least one X. In how many ways can this be done?
A
96
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B
104
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C
112
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D
118
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Solution
The correct option is C 118 Total X's =14 Total Blocks = 16 2 extra blocks, only possible way is if no X is put either in the first row or the last row No. of ways = Total ways of Putting X's - 2 = 16C14−2 =118