a total of 32 students have entered a spelling contest there are 6 medals for first through sixth place that will be awarded in how many different ways can the medals be awarded?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
A total of 32 students have entered a spelling contest there are 6 medals for first through sixth place that will be awarded
Determine how many different ways can the medals be awarded.
Formula for Combination:
C = (n!/(n-k)!)k!
Solution:
In order to determine how many way the medals can be awarded, we can represent the given in a combination.
32C6 = 32!/(32 - 6)! 6!
C = 906,192
Final Answer:
The medals can be awarded in 906, 192 ways.