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If a denotes the number of permutations ...

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 time such that `a=182b c ,` find the value of `xdot`

A

`10`

B

`12`

C

`14`

D

`18`

Text Solution

Verified by Experts

The correct Answer is:
C
`=4((cos^(2)beta-sin^(2)beta)/(sin^(2)beta))=4((1-2sin^(2)beta)/(sin^(2)beta))=4((1-2sinalpha.cosalpha)/(sin^(2)beta))=4((sinalpha-cosalpha)/(sin beta))^(2)gt0`
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