Question

Modeling real life a team of 25 rowers attends a rowing tournament. Five rowers compete at a time. How many combinations of 5 rowers are possible?

Answer 1

To find the number of combinations of 5 rowers out of a team of 25, we can use the combination formula: C(25, 5) = 53,130. There are 53,130 possible combinations of 5 rowers out of a team of 25.

Step-by-step explanation:

To find the number of combinations of 5 rowers out of a team of 25, we can use the combination formula:\

C(25, 5) = 25! / (5! * (25-5)!)

C(25, 5) = 25! / (5! * 20!)

Applying the factorial values:

C(25, 5) = 25 * 24 * 23 * 22 * 21 / (5 * 4 * 3 * 2 * 1)

C(25, 5) = 53,130

There are 53,130 possible combinations of 5 rowers out of a team of 25.