Problem 6. (20 points) Assume that you have won 5 free tickets for the upcoming

Question

Problem 6. (20 points) Assume that you have won 5 free tickets for the upcoming November 7 Imagine Dragons West concert, so now you have the difficult task of picking up 4 people from your group of 8 friends from math3030 class a) (5 points) How many possible way this can be done? b) (5 points) Assume that the seats are not of equal quality (e.g. one is in the vip area, one is close to the stage, one is way back and one is in the middle, and the last one is outside the stadium). How many possible ways you can choose now from your group?

Explanation / Answer

a) 4 people can be chosen out of 8 in 8C4

= 8! / (4! * 4!)

= (8*7*6*5) / (4*3*2*1)

= 70 ways.

b) 4 seats can be assigned to 8 people in 8P4 = 8! / 4!

= 8*7*6*5

= 1680 ways.

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