Correct option: (a) p = 3, n = 8
Explanation:
(1 + px)n = 1 + 24x + 252x2 + -------
∴ nc0 + nc1(px) + nc2(px)2 + nc3(px)3 = 1 + 24x + 252x2 + -----
∴ 24 = nc1 ∙ p ⇒ np = 24
252 = nc2p2 ⇒ [{n(n – 1)} / 2]p2 = 252
∴ n(n – 1)p2 = 504
∴ n(n – 1) (24 / n)2 = 504
∴ [(n – 1) / n2] = [(504) / (576)]
∴ (n – 1) / n] = [(504) / (576)]
∴ 576 n – 576 = 504 n
72 n = 576
⇒ n = 8 and p = 3