Question

A nursery has 10 tree seedlings to give out at 2 workshops. It wants to give out a minimum of 2 seedlings at each workshop. How many different ways can the nursery give out seedlings?

Answer 1

We are given total 10 tree seedlings.

Number of workshops = 2.

Here order doesn't matters.

When order doesn't matters we apply combination.

We know formula of combination:

`C(n,r) = (n!)/(r!(n-r)!)`

For the given situation, we have

n=10 and r=2.

Plugging values in formula, we get

`(10!)/(2!(10-8)!)  = (10* 9*8!)/(2!8!)`

`(10 * 9)/(2) = (90)/(2) =45`

Therefore, 45 different ways can the nursery give out seedlings.