Xghoued5389 Xghoued5389
  • 15-04-2021
  • Mathematics
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Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

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MrRoyal
MrRoyal MrRoyal
  • 15-04-2021

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]Arrangements = 5040\ ways[/tex]

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