Melissa was recently in California, learned that our Math 177 class has been inv
ID: 3374489 • Letter: M
Question
Melissa was recently in California, learned that our Math 177 class has been invited to attend a math conference at Universal Studios next fall. If all 10 of us attend:
a. In how many ways can a luggage carrier, ticket holder and Mickey Mouse spotter be chosen from our group?
b. In how many ways can 3 of our group members be chosen to represent us in a contest to not scream when riding “The Guardians of the Galaxy?”
c. If a total of 63 people at the conference have entered the Guardians of the Galaxy contest, in how many ways can the first 5 places come in?
Explanation / Answer
a) Number of ways in which a luggage carrier, ticket holder and Mickey Mouse spotter be chosen from the group = 10P3
= 10!/(10-3)!
= 10x9x8
= 720
b) Number of ways in which 3 of the group members be chosen to represent us in a contest to not scream when riding “The Guardians of the Galaxy” = 10C3
= 10!/(7! x 3!)
= 120
c) The first 5 places can come in 63P5 ways
= 63!/(63-5)!
= 843,461,640