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!

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.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

step-by-step explanation: