Question

How many ways can a delegation of 55 Republicans, 22 Democrats, and 33 Independents be selected from a group of 99 Republicans, 33 Democrats, and 44 Independents?

Answer 1

`C(99,55)\,C(33,22)\,C(44,33)`

Explanation:

A permutation refers to arrangement of the objects or numbers in order. Combinations refers to selecting the objects or numbers from a group of objects or collection such that the order of the objects does not matter.

A delegation of 55 Republicans, 22 Democrats, and 33 Independents is selected from a group of 99 Republicans, 33 Democrats, and 44 Independents.

So,

Number of ways
`=C(99,55)\,C(33,22)\,C(44,33)`