Given we need to find the different boat parties of 8, consisting of 5 boys and 3 girls.

The selections of girls and boys are to be made from 25 boys and 10 girls.

Let us assume the number of ways of choosing to be N.

⇒ N = (no. of ways of choosing 5 boys) × (No. of ways of choosing 3 girls)

⇒ N = (²⁵C₅) × (¹⁰C₃)

We know that ,

And also n! = (n)(n – 1)(n – 2)…………2.1

⇒

⇒

⇒

⇒ N = (53130) × (120)

⇒ N = 6375600

∴ The total no. of different boat parties are 6375600 ways.