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:

$C(n,r) = \frac{n!}{r!(n-r)!}$

For the given situation, we have

n=10 and r=2.

Plugging values in formula, we get

$\frac{10!}{2!(10-8)!} = \frac{10\times 9\times8!}{2!8!}$

$\frac{10 \times 9}{2} = \frac{90}{2} =45$

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