Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

Ten buses are plying between two places A and B. In how many ways can a person travel from A to B and come back?
Options
A 10
B 20
C 100
Correct Answer
D 50
Correct Answer

Option C is the correct answer.

Detailed Explanation

This problem uses the Fundamental Principle of Multiplication. The person has 10 choices for the journey from A to B. For the return journey from B to A, the person again has 10 choices (assuming they can use any bus, including the one they came on). Since these are two independent events, the total number of ways is the product of the number of ways for each event: 10 * 10 = 100 ways.

Hint

Apply the multiplication principle for independent events (going from A to B, and then coming back from B to A).

Question Info