Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

A bowler bowls 6 balls in an over. We need to find the number of ways to choose 4 of these 6 balls on which a wicket is taken. The order in which the wickets are taken among the chosen balls doesn't matter, only which 4 balls resulted in a wicket.This is a combination problem: choosing 4 items from 6.Number of ways = 6C4.6C4 = 6! / (4! * (6-4)!) = 6! / (4! * 2!) = (6 * 5 * 4!) / (4! * 2 * 1) = (6 * 5) / 2 = 30 / 2 = 15.

Hint

This is a selection problem where the order does not matter. Use combinations.

Question Info