3
$\begingroup$

How many permutations of the following pattern will there be. The order has to stay the same. In other words, you can only swap the 'B' with another 'B' because it will not affect the pattern?

B C B C C B A B C A C

My guess is there are 5760 permutations. I worked with out by 'X' multiplying each permutation.** 24 (B) x 120 (C) x 2 (A)

$\endgroup$
  • 1
    $\begingroup$ Your answer seems fine. $\endgroup$ – vidhan May 27 '15 at 17:17
1
$\begingroup$

It would be:

$4!*5!*2!=5760$

Just as you said.

$\endgroup$
  • $\begingroup$ Thank you sooo much - this would have kept me up all night. $\endgroup$ – Desmond Oliver May 27 '15 at 17:18

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.