Question

Create a word problem that can be represented by this mathematical statement andsolve your problem. Be sure to show and explain all work.

Answer 1

Explanation

We are required to create a word problem that can be represented by this mathematical statement and solve the problem.

$\frac{12!}{3!9!}$

This is achieved thus:

Question:

In how many ways can you arrange 12 textbooks in a row if 3 are identical Maths textbooks and 9 are identical Physics textbook.

Solution:

The total textbooks = 12

Identical textbooks are Maths(3) and Physics(12)

Therefore, we have:

$\begin{gathered} \frac{12!}{3!9!}=\frac{12\cdot11\cdot10\cdot9!}{3!9!} \\ =\frac{12\cdot11\cdot10}{3!}=\frac{12\cdot11\cdot10}{3\cdot2\cdot1} \\ =\frac{2\cdot11\cdot10}{1} \\ =220\text{ }ways \end{gathered}$

Hence, the answer is:

$220$