SOLUTION: My bag has seven marbles in it, The marbles are either red or blue, How many ways can the marbles be ordered? Thanks!

Question 616267: My bag has seven marbles in it, The marbles are either red or blue, How many ways can the marbles be ordered?
Thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It really depends on how many reds and how many blues there are. Say you had 6 reds and 1 blue. Assuming you can't distinguish between two reds or two blues (ie tell them apart), this would mean you would have

R, B, B, B, B, B, B
B, R, B, B, B, B, B
B, B, R, B, B, B, B
B, B, B, R, B, B, B
B, B, B, B, R, B, B
B, B, B, B, B, R, B
B, B, B, B, B, B, R

So you would have 7 ways to order this

But, if you have 5 reds and 2 blues, then there would be a lot more ways to order the marbles.

So we would need to know how many red and blue marbles there are.
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