1A. Seven runners are in a race in which first, second and third place will be a

Question

1A. Seven runners are in a race in which first, second and third place will be awarded. Assuming that there are no ties how many outcomes are possible.
1B). Forty photographs are entered in a photo competition. How many ways are there to award the top eight places.
1C)Three math students and two computer science students come to class late.
a. There are five students total. How many ways can five students walk in through the door late
b. How many ways can the students come in, if a computer science student must be first.

Explanation / Answer

a) 7P3= 7x6x5= 210 ways

b)40P8= 3100796899200

c)IC a)= 5!= 120 ways

d) 2! x 3!=12 ways

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