Question

you volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 18 children present in your van. how many different groups of 7 children can you drive? how many different groups of 7 children can you drive?

Explanation:

Step1: Identify the combination formula

The formula for combinations is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n\) is the total number of items, and \(r\) is the number of items to be chosen. Here, \(n = 18\) and \(r=7\).

Step2: Substitute values into the formula

$$
LATEXBLOCK0
$$

Step3: Simplify the expression

$$
LATEXBLOCK1
$$

Answer:

\(31824\)