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?

A.
45

B.
80

C.
1,814,400

D.
3,628,800

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?

A.
45 

B. 
80 

C.
1,814,400 

D.
3,628,800

shubhamsrg · Answer

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)

anonymous · Answer

ohhok soo basically its C.right? howd you get that answer??

shubhamsrg · Answer

hmm? o.O

anonymous · Answer

wait what?

shubhamsrg · Answer

How do you say its C ?

anonymous · Answer

wait well you just said "C(10,8)" soo?? im confused

shubhamsrg · Answer

Surely you are !

LEARN PERMUTATIONS AND COMBINATIONS BASICS BEFORE ATTEMPTING ALL THIS !

anonymous · Answer

it is b, because there are 8 places and ten types of spices. so 10 x 8!