A diagram shows how different numbers of flowerpots can be arranged. Find the number of ways four flowerpots can be arranged in a row. If that makes any sense? Thank you!
You have four pots. To start your row, you have to select one of the pots, out of the four choices. Then, since you used one pot, you have three choices for the next one in the row, then two choices, then one. So:
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consider flowerpots a, b, c, d
you can put a in 4 positions either of 4
you can put b in 3 positions either of remaining 3
you can put c in 2 positions either of remaining 2
you can put d in 1 position remaining 1
total number of ways = 4 × 3 × 2 × 1 = 4! = 24
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You have four pots. To start your row, you have to select one of the pots, out of the four choices. Then, since you used one pot, you have three choices for the next one in the row, then two choices, then one. So:
4 X 3 X 2 X 1. Or 4! Which = 24
No. of ways=4!=24 ways
4! ie. 24
4 different flowerpots = 4! = 24
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