Question

If the Math Olympiad Club consists of 16 students, how many different teams of 5students can be formed for competitions?

Answer 1

A math Olympiad club consist of 16 students

The number of different teams of 5 students that can be formed for competitions is a combinations of 5 different students

The formula for combination is

`^nC_r=(n!)/(r!(n-r)!)`

`^(16)C_5`

The number of teams will be

`^(16)C_5=(16!)/(5!(16-5)!)=(16!)/(5!*11!)=4368`

Hence, the number of teams of 5 that can be formed if 4368