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A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?

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Question

A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?

Sum
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Solution

There are 30 boys and 20 girls.

A teacher can select any boy as a class monitor from 30 boys in 30 different ways and he can select any girl as a class monitor from 20 girls in 20 different ways.

∴ by the fundamental principle of addition, the total number of ways a teacher can select a class monitor

= 30 + 20 = 50

Hence, there are 50 different ways to select a class monitor.

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Chapter 3: Permutations and Combination - Exercise 3.1 [Page 47]

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