Math word problem given to me by a friend

Question

I was given a math question for fun and now it's driving me crazy that I don't know the answer! If I am given a choice of 12 different colors and have to match the correct color to a correct number between the numbers 1 & 100, how would I calculate the total number of combinations possible?

Answer 1

Hi Daniel,

This is actually has a pretty simple solutions.

 

To calculate the number of possibilities, you simply multiply 12 and 100.

So, there are 1200 possibilities.

 

If the first color is RED (R), then 100 of the possibilities are R1, R2, R3, R4, R5, ..., R98, R99, R100.

If the second color is BLUE (B), then 100 of the possibilities are B1, B2, B3, B4, ..., B98, B99, B100.

 

Similarly, the list for the other ten colors will have 100 possibilities.  So, all together, there are 1200 possibilities.

 

Hope this helps!  :)

Jim