Posted by Mike on Tuesday, February 19, 2008 at 6:52pm.
In a raffle, 5 winners get to choose from 5 prizes, starting with the first name drawn. If 87 people entered the raffle, how many ways can the winners be arranged?

Math  Guido, Tuesday, February 19, 2008 at 7:11pm
87 x 86 x 85 x 84 x 83 = ???

Math  Reiny, Tuesday, February 19, 2008 at 7:23pm
Your question, "If 87 people entered the raffle, how many ways can the winners be arranged?"
seems to imply that the prizes do not enter the picture.
The winners can be arranged in 87*86*85*84*83 or 4433982840
If you imply that each of them could have picked a different prize, let's argue this way:
The first winner could have been picked in 87 ways, and each of those could have picked one of the 5 available prizes, so
87*5 ways
the second winner could have been picked in 86 ways, assuming one cannot win again, and each could have picked one of the remaining 4 prizes, so 86*4 ways
so the total number of ways arranging the 5 winners each with a different prize
= 87*5*86*4*85*3*84*2*83*1
= big

Math  Mostly, Sunday, February 10, 2013 at 7:20pm
4,433,982,840
Answer This Question
Related Questions
 math  Ten thousand raffle tickets are sold. 1 first prize of $1800, 3 second ...
 Math  Volunteers working to raise funds for a new community library sold 1000 ...
 College Math  Volunteers working to raise funds for a new community library ...
 Math  it cost $2 to buy a raffle ticket. if there are 500 tickets sold, and ...
 Math  In a raffle, the prizes that can be won are as follows: 25 gift ...
 Math  Pedro has two options: he can enter raffle number 1, OR raffle number 2 ...
 Statistics  A school is running a raffle. There are 100 tickets, of which 3 are...
 Statistics  A raffle is being conducted with 50 tickets to be sold  one per ...
 Math 12  One hundred tickets are sold for a raffle. Three prizes are awarded. ...
 stats  raffle with a grand prize $500., 2 second place prizes of $100., 4 third...
More Related Questions