To find the number of different combinations of machines that Geoff can choose from, we can use the combination formula.
The combination formula is given by:
C(n, r) = n! / (r!(n-r)!)
Where n is the total number of items and r is the number of items we want to choose.
In this case, Geoff wants to choose 3 machines out of a total of 11 machines.
Using the combination formula:
C(11, 3) = 11! / (3!(11-3)!)
= 11! / (3!8!)
= (11 * 10 * 9) / (3 * 2 * 1)
= 165
Therefore, Geoff can choose from 165 different combinations of machines.
The gym has 11 different types of machines in the weight room. Geoff has time to use only 3 of them this afternoon. How many different combinations of machines can Geoff choose from to use? Show your work or explain how you got your answer.
1 answer