Question

There are 18 students on the debate club. How many ways can the club send 4 students to the next debate?.

Answer 1

Let's consider first what equation we must use:

⇒ use Combination Formula ⇒
`._(n) C_(r)=(n!)/(r!(n-r)!)`

⇒ where 'n' is the total number of items and 'r'

is the number of items to choose

Let's look at the problem:

• total number of students: 18
• number of students needed for debate: 4

Let's plug it in:

`(18!)/(4!*(18-4)!) =(18!)/(4!*14!) =(18*17*16*15)/(4*3*2*1) =18*17*2*5=3060`

Thus there are 3060 ways

Answer: 3060 ways

Hope that helps!