Answer to Question #62421 in Discrete Mathematics for Lenard

Question

1. If a quiz contains five multiple-choice questions, each of which has 4 choices. In how many ways can this be answered?
2. How many different ways can a visiting nurse see six patients if she is to visit at most 3 of them in one day?
3. How many different signals using 9 flags can be made if 4 are red, 3 are blue and 2 are white?
4. In how many ways can 5 individuals be seated in a round table with 5 chairs if 2 of them refuse to sit next to each other?
5. If a basketball team has 10 games to play, how many different outcomes of 6 wins and 4 losses are possible?
6.There are 12 people at a party. If they all shake hands once, how many different handshakes are there?
7. In how many ways can 6 individuals be seated in a row if three insist on sitting next to each other?