SOLUTION: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the t

Algebra.Com
Question 626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men.
If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
3C2*5C2= 3*10 = 30 ways
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
-----
# of ways to pick 2 men: 3C2 = 3
# of ways to pick 2 women: 5C2 = 10
----
# of ways to satisfy the problem condition: 3*10 = 30
=========================================================
Cheers,
Stan H.
==============

RELATED QUESTIONS

An employer interviews people for technical support positions in a company, and of the (answered by stanbon)
an employer interviews 10 people for 6 management positions in a company,and 5 of the 10... (answered by Boreal)
An employer interviews people for computer programming positions in a company, and of... (answered by ikleyn)
an employer interviews 8 people for 6 customer service positions in a company, 4 of the 8 (answered by ikleyn)
An employer interviews 8 people for 6 computer programming positions in a company, and 3... (answered by stanbon)
An employer interviews 8 people for 6 computer programming positions in a company, and 3... (answered by edjones)
An employer interviews 8 people for 5 computer programming positions in a company, and 3... (answered by Boreal)
An employer interviews 10 people for 6 management positions in a company, and 5 of the... (answered by jorel1380)
An employer interviews 10 people for 5 management positions in a company, and 5 (answered by Boreal)