Question

A class has 20 boys and 15 girls. If one representative from each gender has to be chosen, in how many ways can this be done ?

Answer 1

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Task 1 : Choosing a representative from boys.

This can be done in 20 ways.

Task 2 : Choosing a representative from girls.

This can be done in 15 ways.

By the product rule, the number of ways of performing the two tasks is $20\times 15=300$ ways.

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