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

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.

$$^4P_3=(4\times 3\times 2\times 1)=24$$