Question

Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

Answer 1

5040 possible arrangements

Explanation:

Given

`Trophies = 7`

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

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Up till the last in 1 position

So, the number of arrangements is:

`Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1`

`Arrangements = 5040\ ways`