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.

`(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} (12!)/(3!9!)=(12\cdot11\cdot10\cdot9!)/(3!9!) \\ =(12\cdot11\cdot10)/(3!)=(12\cdot11\cdot10)/(3\cdot2\cdot1) \\ =(2\cdot11\cdot10)/(1) \\ =220\text{ }ways \end{gathered}`

Hence, the answer is:

`220`