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Question

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

A
160
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B
140
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C
180
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D
120
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Solution

The correct option is C 180
  • Since the first exercise contains 15 questions, the number of ways of choosing the first question in 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 questions can be selected in 15×12=180 ways.

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