A teacher of a class wants to set 1 question | vedclass

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Question

(C) The teacher needs to select $1$ question from the first exercise and $1$ question from the second exercise.Since the first exercise contains $15$

Vedclass · Accepted Answer

$180$

Vedclass · Answer

(C) The teacher needs to select $1$ question from the first exercise and $1$ question from the second exercise.Since the first exercise contains $15$ questions,the number of ways to choose the first question is $15$.Since the second exercise contains $12$ questions,the number of ways to choose the second question is $12$.According to the Fundamental Principle of Counting (Multiplication Principle),if one event can occur in $m$ ways and another independent event can occur in $n$ ways,then both events can occur in $m 	imes n$ ways.Therefore,the total number of ways to select the $2$ questions is $15 	imes 12 = 180$ ways.

$A$ teacher of a class wants to set $1$ question from each of $2$ exercises in a book. If there are $15$ and $12$ questions in the $2$ exercises respectively,then in how many ways can the $2$ questions be selected?

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