A consulting engineer agrees to spend three days at Widgets International, three days at Doodads Incorporated and 4 days at IBM. In how many ways can she schedule her consultations?

Question

A consulting engineer agrees to spend three days at Widgets International, three days at Doodads Incorporated and 4 days at IBM.  In how many ways can she schedule her consultations?

anonymous · Answer

I think this is what you mean, 

Let the three appointments be A, B and C. 

So, all possible combinations are, 

A B C
C B A
A C B
B C A
C A B
B A C

So the answer is 6.

anonymous · Answer

Okay that looks good but is there any other way of figuring it out without trying to write all the combination.

anonymous · Answer

I think, you could go like this, to find the combination since there is no order. 

Since there are 3 things, it should be 3! = 3 X2X1 = 6.

anonymous · Answer

Okay that was what I thought but then I confuse myself with other steps. Thank you so much I have a big exam tomorrow morning.

anonymous · Answer

http://www.mathsisfun.com/combinatorics/combinations-permutations.html This should help with the basics

anonymous · Answer

Okay thank you again!