Multiple choice

A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

  1. 21

  2. 12

  3. 108

  4. 9

  5. 101
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

By the fundamental principle of counting, the number of ways to select one item from each of two independent sets is the product of the number of choices in each set. 9 * 12 = 108.

AI explanation

According to the fundamental principle of multiplication, if one task can be done in m ways and a second independent task in n ways, both tasks can be done together in m x n ways. The boy can select 1 trouser in 9 ways and 1 shirt in 12 ways. Therefore, the total number of ways to select one of each is 9 x 12 = 108.

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