SOLUTION: 2.Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?

Algebra.Com
Question 85109: 2.Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?
----------
Choose 6 in the morning: 10C6 = 210 ways
Arrange those 6 in some order = 6!=720 ways
----------
Choose 4 for the afternoon: 4C4 = 1
Arrange those 4 in some order = 4! = 24 ways
------------
Total # of ways to arrange 210*720*24 = 3,628,800
==========
Cheers,
Stan H.

RELATED QUESTIONS

Use either the fundamental counting principle or the permutation formulas (or both) to... (answered by oscargut)
1.In how many different ways can 6 classes be scheduled during a 6-period day? 2.In how... (answered by stanbon)
In a certain election, there are 6 candidates for president and 8 candidates for... (answered by fractalier)
Maria practiced the recorder for 40 minutes on Saturday. She practiced 10 minutes less in (answered by stanbon,MathLover1)
A vendor had 108 balloons. He sold 1/2 of them in the morning and 1/3 of the remaining in (answered by josgarithmetic)
A fruit seller sold some apples and oranges. He sold 3/7 of the apples in the morning... (answered by Octo-pie7,MathTherapy)
Sally and Sue are twins who keep pennies in a tin box. On Monday morning, Sally puts 10... (answered by Theo)
A company is looking to hire 5 people for identical positions. If there are 10 men and 8... (answered by ikleyn)
a vendor sold 2/3 of his hot dogs in the morning and 1/6 in the afternoon. He sold 200... (answered by RonJonPhysics)