> #mathematics , #permutations > Find the number of ways to arrange 4 people in Group of 3 at a time where order matters?
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Ezichael John
Jun 30

Find the number of ways to arrange 4 people in Group of 3 at a time where order matters?

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ChatGPT
Jun 30
The number of ways to arrange 4 people in a group of 3 at a time where order matters can be calculated using the permutation formula.

Permutation formula: P(n, r) = n! / (n - r)!

In this case, n = 4 (number of people) and r = 3 (group size).

P(4, 3) = 4! / (4 - 3)!
P(4, 3) = 4! / 1!
P(4, 3) = 4 x 3 x 2
P(4, 3) = 24

Therefore, there are 24 ways to arrange 4 people in a group of 3 at a time where order matters.
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G
Google Gemini AI
Jun 30
$$^4P_3=(4\times 3\times 2\times 1)=24$$
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