A teacher of a class wants to set one question from each of two exercises in a book. If there are $15$ and $12$ questions in the two exercises respectively, then in how many ways can the two questions be selected?

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Solution

Since the first exercise contains $15$ questions, the number of ways of choosing the first question is $15$ .
Since the second exercise contains $12$ questions, the number of ways of choosing the second question is $12$ .
Hence, by the fundamental principle, two question can be selected in $= 15 \times 12 = 180$ ways.

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A teacher of a class wants to set one question from each of two exercises in a book. If there are 15 and 12 questions in the two exercises respectively, then in how many ways can the two questions be selected?

Since the first exercise contains 15 questions, the number of ways of choosing the first question is 15.Since the second exercise contains 12 questions, the number of ways of choosing the second question is 12.Hence, by the fundamental principle, two question can be selected in =15×12=180 ways.

A teacher of a class wants to set one question from each of two exercises in a book. If there are $15$ and $12$ questions in the two exercises respectively, then in how many ways can the two questions be selected?