Find the value of -n- if n P 6-12 n P 4-A- 9B- 10C- 7D- 8E- 11

The correct option is D 8 Soln: n!/(n 6)!= 12*n!/(n 4)! (n – 4)! = 12*(n – 6)! (n – 4)(n – 5) = 4 x 3 n = 8 Hint: go from answer options. Only option(a) sa ...

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Standard VIII

Mathematics

Exponent of a Product

Find the valu...

Question

Find the value of ‘n’ if $^{n}$ P $_{6}$ = 12 $^{n}$ P $_{4}$ .

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Solution

The correct option is A 8
Soln:

$\frac{n!}{(n - 6)!}$ = 12* $\frac{n!}{(n - 4)!}$

(n – 4)! = 12*(n – 6)!

(n – 4)(n – 5) = 4 x 3

n = 8

Hint: go from answer options. Only option(a) satisfies given equation.

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Find the value of ‘n’ if nP6 = 12nP4.

The correct option is A 8 Soln: n!(n−6)!= 12*n!(n−4)! (n – 4)! = 12*(n – 6)! (n – 4)(n – 5) = 4 x 3 n = 8 Hint: go from answer options. Only option(a) satisfies given equation.

Find the value of ‘n’ if $^{n}$ P $_{6}$ = 12 $^{n}$ P $_{4}$ .

The correct option is A 8
Soln:

$\frac{n!}{(n - 6)!}$ = 12* $\frac{n!}{(n - 4)!}$

(n – 4)! = 12*(n – 6)!

(n – 4)(n – 5) = 4 x 3

n = 8

Hint: go from answer options. Only option(a) satisfies given equation.