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

The correct option is E 8 Soln: n!/(n 6)! = 12 × n!/(n 4)! (n 4)! = 12 × (n 6)! (n 4)(n 5) = 4 × 3 n = 8 Hint: go from answer options. Only option(a) satisfi ...

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Standard XII

Mathematics

nCr Definitions and Properties

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

$(n - 4)! = 12 \times (n - 6)!$

$(n - 4) (n - 5) = 4 \times 3$

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)=4×3 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:
$\frac{n!}{(n - 6)!} = \frac{12 \times n!}{(n - 4)!}$

$(n - 4)! = 12 \times (n - 6)!$

$(n - 4) (n - 5) = 4 \times 3$

n = 8

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