Question

You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your van How many different groups of 6 children can you drive?​

Answer 1

However if you are asking how many different combinations, there can be 5005 different combinations.

Answer:

2 different groups of 6 children.

Explanation:

There are 15 children you need to bring. You can fit 6 children in each van.

One van : 6 children

Two vans : 12 children

Three vans : 18 children

If you take two vans, that will take 12 children. But you need to fit 15.

If you take three vans, that will take 18 children. This is more than enough.

15 children - 6 = 9 children

Thats one group with 9 children left to take

9 children - 6 = 3 children

Thats two groups with 3 children left to take

3 children - 6 = -3.

This doesn't work. In this case, there will be 3 more empty seats in the last group.

Since the question asks how many groups of 6 children you can drive. It would be two. Becuase there are 2 groups of 6 and one of 3.