# If a denotes the no. of permutation of x + 2 things taken all at a time, b the no. of permutation of x things taken 11 at a time and c

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If a denotes the no. of permutation of x + 2 things taken all at a time, b the no. of permutation of x things taken 11 at a time and c the no. of permutation of x-11 things taken all at a time such that a = 182 bc then the value of x is _______

(a) 15

(b) 12

(c) 10

(d) 18

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Correct option: (b) 12

Explanation:

a = 182bc