Question

If eight cars are entered in a race and three finishing places are considered, how many finishing orders can they finish? Assume no ties. (b) If the top three cars are Buick, Honda, and BMW, in how many possible orders can they finish? Problem 21.3 You are taking 2 shirts(white and red) and 3 pairs of pants (black, blue, and gray) on a trip. How many different choices of outfits do you have?

Answer 1

a) 336

b)6

c)6

Explanation:

a) In the 1st place fit 8 cars, in the 2nd only fit 7 cars, because one is already in the first place and 3th fit 6 cars, so all the possibilities are 8*7*6.

b) in the 1st place fit 3 cars, 2nd 2 cars and 3th 1 car, so all the possibilities are 3*2*1

c) every shirt can be matched with 1 pair of pants, there are 2 shirts and 3 pants, so all the the possibilities are 6+6.