Processing math: 57%
April 17th Problems
- How many ways can two dice (six-sided) be rolled to get a 9?
- How many ways can 4 dice by rolled to get a 6?
- Andy, Brahbrah/Barbara, and Chuck each roll two dice (Monopoly maybe?). How many ways can Andy roll a 10, Brahbrah roll a 7, and Chuck a 5?
- Suppose 13 men, 6 women, 2 boys, and 4 girls are the last survivors of the human race.
- How many ways can we film a 50s sitcom? That is, how many ways can they select 1 man, 1 woman, 1 boy, and 1 girl?
- How many ways can a man or a girl be selected? (This was the specified sacrifice (man or girl) for our new alien overlords.)
- How many ways can we select our new leader? (Select one human.)
- Let A={a1,…,an} and B={1,2,3}.
- Prove that there are 3n functions from A→B.
- How many of these functions are NOT onto?
- How many are onto?
- Calculate 3^{80} \mod {7}.
- Find the last 2 digits of 7^{355}.
- How many cards of a single suit must exist in a set of n cards drawn from a standard deck of playing cards? (A deck of cards has 52 cards divided into 4 suits of 13 cards each. I'm looking for the number of guaranteed cards for any one suit without specifying which suit.)
- How many ways can 10 adults and 5 children stand in a circle such that no two children are next to each other?