Question

You are judging photos for a pet contest. You have to rank 4 dog pictures from a total of 30, and 5 cat pictures from a total of 16. The number of possible permutations equals _____.

A. 30P4 + 16P5
B. 4! • 5!
C. 30P4 • 16P5
D. 30!/4! x 16!/5!

Answer 1

The answer is A. 30P4+16P5

The equations for the number of possible permutations of k objects from a set of n. This is usually written P. Where nPk = n! / (n-k)!=30!/26! + 16!/11!

nPk=657,720 + 524,160 =1,181,880

so the total permutations is 1,181,880.