The ages of five randomly chosen cars in the parking lot are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, how many groups can be formed?
I think 10 b/c it's a combination C(5,3)
I agree with Katie
Thanks!!
To find the number of groups that can be formed, we need to use a combination formula.
The number of combinations of "n" objects taken "r" at a time is given by the formula:
C(n, r) = n! / (r!(n-r)!)
In this case, we have 5 cars and we want to choose groups of 3 cars at a time. So we can use the combination formula:
C(5, 3) = 5! / (3!(5-3)!)
Calculating this:
C(5, 3) = 5! / (3! * 2!)
= (5 * 4 * 3!) / (3! * 2!)
= (5 * 4) / (2 * 1)
= 10 / 2
= 5
So there are 5 groups that can be formed when considering this sample of 5 cars in groups of 3.