In class, there are $15$ boys and $10$ girls. How many ways a teacher can select $1$ boy and $1$ girl to represent the class at a seminar?

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Solution

Calculate the number of ways to select one boy and one girl.
There are $15$ boys and $10$ girls.
No. of ways to select one boy and one girl is
$\begin{array}{rcl} ({}^{15}C_{1}) \times ({}^{10}C_{1}) & = & 15 \times 10 \\ = & 150 \end{array}$ .
Hence, the teacher can select in $150$ ways.

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In class, there are 15 boys and 10 girls. How many ways a teacher can select 1 boy and 1 girl to represent the class at a seminar?

Calculate the number of ways to select one boy and one girl.There are 15 boys and 10 girls.No. of ways to select one boy and one girl is C115×C110=15×10=150.Hence, the teacher can select in 150 ways.

In class, there are $15$ boys and $10$ girls. How many ways a teacher can select $1$ boy and $1$ girl to represent the class at a seminar?

Calculate the number of ways to select one boy and one girl.
There are $15$ boys and $10$ girls.
No. of ways to select one boy and one girl is
$\begin{array}{rcl} ({}^{15}C_{1}) \times ({}^{10}C_{1}) & = & 15 \times 10 \\ = & 150 \end{array}$ .
Hence, the teacher can select in $150$ ways.