Please show steps + explain A dealership has six models of trucks and five models of cars for sale.

Question

1.A dealership has six models of trucks and

five models of cars for sale. Wayne sells

four vehicles this week. How many of the

following combinations of four can be

formed?

a) no restrictions

b) two trucks and two cars

e) only trucks

f) How are the answers to parts b) to e)

related to part a)? Explain why this is

true.

Answer 1

Hope this helps!

a) NO restrictions. Combination of 11 items taken 4 at a time. ₁₁C₄ = 11!/[(11-4)!4!] = (11x10x9x8)/(4x3x2x1) = 330

b) two trucks & 2 cars: (₆C₂ )(₅C₂) = (15)(10) = 150

because you have a combination of 6 trucks taken 2 at a time AND (multiply) a combination of 5 cars taken 2 at a time.

e) ONLY trucks is a combination of 6 items taken 4 at a time: ₆C₄ = 15

If you need the combination formula, please check out this link.

https://images.search.yahoo.com/search/images;_ylt=A0geK9p5baFgESAAKctXNyoA;_ylu=Y29sbwNiZjEEcG9zAzEEdnRpZANDMTYxN18xBHNlYwNwaXZz?p=combination+formula&fr2=piv-web&fr=mcafee