If 2n C 3 : n C 2 = 44 : 3, find n.

Question

Philoid · Accepted Answer

Given:

⇒

We know that

And also n! = n(n – 1)(n – 2)…………2.1

⇒

⇒ 2 × (2n – 1) × 2 = 44

⇒ 2n – 1 = 11

⇒ 2n = 12

⇒

⇒ n = 6

∴ The value of n is 6.

If 2nC3 : nC2 = 44 : 3, find n.