Question

Seven students are running for four junior class representative positions in the upcoming student council elections. How many different ways can the students be chosen?

Answer 1

the value is 7 choose 4, or choosing 4 students out of 7 (order does not count).

"7 choose 4" can be evaluated as
7C4 = 7!/((7-4)!4!)
= 7!/(3!4!)
= 5040/(6*24)
= 35

Answer 2

Thank you so much!