Question

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?

(A) 320

(B) 750

(C) 40

(D) 11340

Answer 1

(D) 11340

Number of ways to choose 8 questions from Part A and 5 from Part B = ¹⁰C₈ × ¹⁰C₅

= ¹⁰C₂ × ¹⁰C₅

= 45 × 252

= 11340