Answer:
5.52 * 10^15 ways
Step-by-step explanation:
Given that there are 30 boys and 35 girls. The director will select 10 girls and 10 boys,
We use combinations when the question is on the number of ways of selecting objects and the order of selection is not to be counted. Therefore, for this selection, the number of ways
= ³⁰C₁₀ × ³⁵C₁₀
= [tex]\frac{30!}{(30-10)!10!} *\frac{35!}{(35-10)!10!}[/tex]
= [tex]\frac{30!}{20!10!} *\frac{35!}{25!10!}[/tex]
= 30045015 * 183,579,396
= 5.51565 * 10^15
≈ 5.52 * 10^15 ways
