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

Question

1. Eight runners are in a race in which first, second and third place will be awarded. Assuming that there
are no ties, how many different outcomes are possible?
2. Twentyfive photographs are entered in a photo competition. How many ways are there to award the
top four places?
3. Two math students and four computer science students come to class late.
(a.) There are six students in total. How many ways can the six students walk in through the door
late (i.e. 1st, 2nd, 3rd, etc)?
(b.) How many ways can the students come in, if a math student must be first?

Explanation / Answer

1)no of possible out comes=8C1*7C1*6C1=336

2)no. Of ways=25*24*23*22=303600

3)a)no. Of ways=6!=720

b)no. Of ways =2!*4!=48

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