Question

Urgent Help Please
A high school dance committee of 17 members is divided into the following subcommittees:
Decorations: 4 members
Music: 2 members
Refreshments: 3 members
Publicity: 5 members
Ticket sales: 3 members.
In how many different ways can the subcommittees be assigned?

Answer 1

There are 17C4 ways of choosing the Decorations subcommittee. For each of these 17C4 ways there are 13C2 ways of choosing the Music subcommittee. Therefore there are
\[17C4\times13C2=\frac{17!}{4! \times 13!} \times\frac{13!}{2!11!}\]
ways of choosing the Decorations and Music subcommittees.
Continuing this reasoning, the number of different ways of assigning the subcommittees is
\[17C4\times13C2\times11C3\times8C5\times3C3=you\ can\ calculate\]

Answer 2

Thank You =)

Answer 3

You're welcome :)