Question

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

Answer 1

Answer:

5040 possible arrangements

Step-by-step 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:

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

$Arrangements = 5040\ ways$