And show your work for all three. you so much. evaluate.. a. 6! b. 8p5 c. 12c4

a. The exclamation point is the symbol for "factorial". It means you form the product of the given integer and all smaller positive integers.

6! = 6×5×4×3×2×1 = 720

b. This notation is used to mean the number of permutations of 8 objects taken 5 at a time when order matters. In symbols, it means

nPk = n!/(n-k)!

In effect, you do the factorial thing as above, but you only include "k" factors in the product.

8P5 = 8×7×6×5×4 = 6720

c. Similar to nPk, the notation nCk means k objects chosen from n when order does not matter. Its formula is similar, but there's an extra division, so the number is smaller than nPk.

nCk = n!/(k!(n-k)!)

In effect, you only include k factors of the factorial, then you divide the result by k!.

12C4 = 12×11×10×9/(4×3×2×1) = 495

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .