xYou volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 16 children present in your

Question

11 months ago

8

van. How many different groups of 6 children can you drive?

1 answer:

brilliants [131] · Answer 1 · 2024-06-10T18:25:59+03:00

There are 8008 groups in total, in other to drive the children

<h3>How to determine the number of groups?</h3>

From the question, we have

The number of group of children that could be carried at once is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 16 and r = 6

Substitute the known values in the above equation

Total = ¹⁶C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 16!/10!6!

Evaluate

Total = 8008

Hence, the number of groups is 8008

xYou volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 16 children present in your