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Question

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of (x – 11) things taken all at a times and a = 182bc, then x =

A
15
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B
14
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C
13
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D
12
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Solution

The correct option is D 12
a=(x+2),b=XP11=Xx11, c=x11 and a = 182bc (x+1)(x+2)=182=13.14x=12

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