Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

In how many ways can a bowler take four wickets in a single 6-ball over?
Options
A 6
B 15
Correct Answer
C 20
D 30
Correct Answer

Option B is the correct answer.

Detailed Explanation

An over consists of 6 balls. The bowler takes four wickets. We need to find the number of ways to choose which 4 of the 6 balls result in a wicket. The order in which the wickets are taken (e.g., 1st, 2nd, 3rd, 4th ball vs. 3rd, 4th, 5th, 6th ball) matters for the sequence of balls, but for 'taking four wickets' it implies selecting which four balls out of six were wickets. This is a combination problem.Number of ways = 6C4.6C4 = 6C(6-4) = 6C2.6C2 = (6 × 5) / (2 × 1) = 15.

Hint

This is a combination problem because the order of the wickets within the four balls doesn't change the fact that 'four wickets were taken'.

Question Info