Permutation formula with multiple sets

$\begingroup$

The problem is this:

  • set A has 12 items
  • set B has 23 items

Taking 4 items from set A and 3 items from set B, what is the number of possible selections?

(Order matters).

I found this: Permutation problem, combining objects from multiple sets

Which would suggest that the answer is P(12,4) x P(23,3) x (4 + 3)!

Is that correct? I'm struggling to understand why the x (4 + 3)! is necessary.

$\endgroup$ 5 Reset to default

Know someone who can answer? Share a link to this question via email, Twitter, or Facebook.

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

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

You Might Also Like