Tell whether or not order matters in each situation.
Write Yesor No. If yes, explain why.- a phone number being dialed 2. items checked off in a list
- four group members 4. three runners awarded first-,
selected from a class second-, and third-place medals
in a marathon - six people randomly 6. digits in the number of an
selected for a survey address - coins put into a vending 8. four digits in a password
machine
Tell how many permutations and combinations can be made.- three of the digits 3, 5, 7, and 9 10. four of the letters A, B, C, D, and E
- two of the letters A,B,C,D, and E 12. two of the digits 3, 5, 7, and 9
- A novel, an art book, a history book,
and a math book are lined up on a
shelf. In how many ways can they
be arranged? - If 5 people want to be seated, in
how many ways can 4 of them be
seated on a bench that seats 4? - Ms. Malik has 4 plants to put into
3 plant pots. In how many ways
can she pot 3 plants?
5 4 3 2 1 can be written as 5!and is read “five factorial.”
5! 120Evaluate each expression.- 3! 20. 4! 21. 2! 22. 6! 23. 7!
- How would you use the factorial notation to express the
number of ways in which 4 objects can be arranged in a row?
8 objects? 10 objects? nobjects?
14.Mike, Jim, and Sam are going to the
movies. They want to sit together in the
same row. How many different seating
orders are possible?16.From 2 girls and 3 boys, how many
committees of 3 can be formed?18.There are 6 problems on a math final
exam. Students must choose 3
problems to solve. How many ways
can they choose the problems?8206-2_278-279 1/25/06 4:19 PM Page 279