Question

A chef has 10 spice jars, but his new spice rack only holds 8 spice jars.

How many ways can he arrange 8 jars on the spice rack?

Answer 1

A.
45

B.
80

C.
1,814,400

D.
3,628,800

Answer 2

The answer is C, 1814400.
If there are 10 total, but only 8 can fit, we simply do something called a factorial, represented by a ! (for example, 10! is 10x9x8.. so forth.. x2x1.) However, since only 8 can fit, we only multiply down 8 digits, or 10x9x8...x3.

Answer 3

B

Answer 4

No. of arrangements of 8 jars = 8!
No. of ways of selecting 8 jars out of 10 = C(10,8)

So final answer = C(10,8) * 8! or simply P(10,8)

Answer 5

thank you