There are 4 quarterbacks and 6 centers on a football team that has 60 players. How many quarterback-center pariing are possible?
I think there would be 4 possible but don't know if this is correct. Please help! Thank you in advance.
4*6=24
4*6=24
To find the number of possible quarterback-center pairings, we can use combinations.
First, let's find the number of ways to choose 1 quarterback from the 4 available. This can be done using a combination formula:
C(n, r) = n! / ((n-r)! * r!)
Where n is the total number of options and r is the number of selections we want.
In this case, there are 4 quarterbacks and we want to choose 1, so the formula becomes:
C(4, 1) = 4! / ((4-1)! * 1!) = 4
Next, let's find the number of ways to choose 1 center from the 6 available:
C(6, 1) = 6! / ((6-1)! * 1!) = 6
Since these two selections (quarterback and center) are independent of each other, we can multiply the number of possible choices:
Number of pairings = C(4, 1) * C(6, 1) = 4 * 6 = 24
Therefore, there are 24 possible quarterback-center pairings.
To determine the number of possible quarterback-center pairings, you need to consider the number of options for each position and then multiply them together.
In this case, you have 4 quarterbacks and 6 centers. To find the total number of pairings, you need to multiply these two numbers together.
So, the total number of possible pairings is 4 quarterbacks * 6 centers = 24 pairings.
Therefore, there are 24 possible quarterback-center pairings on the football team.