Question

A furniture delivery person has 14 furniture purchases they need to drop off at 14 different addresses, but they only have time to drop off 8 of the furniture purchases today. In how many distinct ways can they deliver 8 of the 14 furniture purchases if the order in which they deliver them matters?

Answer 1

The number of distinct ways for the delivery person to deliver 8 furniture purchases today is 43,758,720.

Step-by-step explanation:

To solve this problem, we can use the concept of permutations. The delivery person needs to choose 8 out of the 14 furniture purchases to deliver today, while considering the order in which they deliver them. The number of distinct ways to do this can be calculated using the formula for permutations:

P(n, r) = n! / (n - r)!

Substituting n = 14 and r = 8 into the formula, we get:

P(14, 8) = 14! / (14 - 8)! = 14! / 6! = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 / 6 x 5 x 4 x 3 x 2 x 1 = 43,758,720

Therefore, there are 43,758,720 distinct ways for the delivery person to deliver 8 furniture purchases today.