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 =

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Solution

The correct option is D 12
$a = ∠ (x + 2), b =^{X} P_{11} = \frac{∠ X}{∠ x - 11},$ $c = ∠ x - 11$ and a = 182bc $\Rightarrow (x + 1) (x + 2) = 182 = 13.14 \Rightarrow x = 12$

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Similar questions

Q. 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 = 182 bc, find the value of x.

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x-11 things taken all at a time such that a = 182 bc, find the value of x.

Q. 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 =

Q. 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 = 182 b c

, then the value of

x

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 permutaions of (X-11) things taken all at a time such that a=182bc, find the value of x??

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 =

The correct option is D 12a=∠(x+2),b=XP11=∠X∠x−11, c=∠x−11 and a = 182bc ⇒(x+1)(x+2)=182=13.14⇒x=12

The correct option is D 12
$a = ∠ (x + 2), b =^{X} P_{11} = \frac{∠ X}{∠ x - 11},$ $c = ∠ x - 11$ and a = 182bc $\Rightarrow (x + 1) (x + 2) = 182 = 13.14 \Rightarrow x = 12$