Committee Formation from Clubs

Hard Data Analysis And Probability Counting Principles

In a school, there are 5 different clubs: Science Club, Math Club, Art Club, Drama Club, and Music Club. Each club has a distinct number of members: the Science Club has 10 members, the Math Club has 8 members, the Art Club has 15 members, the Drama Club has 12 members, and the Music Club has 6 members. The principal wants to form a committee of 3 members, ensuring each member comes from a different club.

How many different ways can the principal form this committee?

Hint

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