Question

John has 3 different flags that he wants to hang on the wall. How many different ways can the flags be arranged in a row?

Answer 1

There are 6 different ways that John can arrange his 3 flags in a row.

Step-by-step explanation:

The question is asking how many different ways John can arrange his 3 flags in a row.

To solve this, we can use the concept of permutations.

In this case, since the order matters and John can hang the flags in different arrangements, we need to calculate the number of permutations.

The formula to calculate permutations is n!/(n-r)!, where n is the total number of items and r is the number of items we are selecting.

In this case, we have 3 flags and we want to arrange all of them, so n=3 and r=3.

Using the formula, we have 3!/(3-3)! = 3! = 3 * 2 * 1 = 6.

Therefore, there are 6 different ways that John can arrange his 3 flags in a row.