Asked by Rose
14. (2 pts) How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview?
Answers
Answered by
Damon
Now here the order of things in the group does not matter so we want the number of combinations of 7 out of 19
C(n,r)= n!/[r!(n-r)!]
= 19!/[7!(12!)]
=19*18*17*16*15*14*13/(7*6*5*4*3*2)
=19*3*17*4*1*13/1
=50,388
check my arithmetic for sure if you have a calculator that does factorials.
C(n,r)= n!/[r!(n-r)!]
= 19!/[7!(12!)]
=19*18*17*16*15*14*13/(7*6*5*4*3*2)
=19*3*17*4*1*13/1
=50,388
check my arithmetic for sure if you have a calculator that does factorials.