SOLUTION: In the word "COMPUTER", there are 40320 distinct permutations. Among these permutations, how many of them: a) begin with C and end with R? b) begin with R and end with C?

Algebra ->  Permutations -> SOLUTION: In the word "COMPUTER", there are 40320 distinct permutations. Among these permutations, how many of them: a) begin with C and end with R? b) begin with R and end with C?      Log On


   



Question 997217: In the word "COMPUTER", there are 40320 distinct permutations. Among these permutations, how many of them:
a) begin with C and end with R?
b) begin with R and end with C?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The answers to both (a) and (b) are the same, as they are each
just the distinct permutations of "OMPUTE", which is 6! = 720.

That's because for each of the 720 distinct permutations of 
"OMPUTE" you can put a C on the far left and an R on the far 
right, or vice-versa.

Edwin