1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions? 10. Secre be m are p 2. Letter Permutations List all the permutations of the letters in the word MATH 11. Pass 1,2 be r 3. Speaking Order Seven elementary students are se- lected to give a 3-minute presentation on what they did during summer vacation. How many different ways can the speakers be arranged? hav in t 12. Au 4. Visiting Nurses How many different ways can a visit- ing nurse visit 9 patients if she wants to visit them all in one day? H ci 13. E 5. Quinto Lottery A lottery game called Quinto is played by choosing five numbers each, from 0 through 9. How many numbers are possible ? Although repeats are allowed, how many numbers are possible if repeats are not allowed? 6. Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands? 14. 7. Rolling Dice If five dice are rolled, how many different 15 outcomes are there? 8. Radio Station Call Letters The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed? At the Bogue Film Festival, the
1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions? 10. Secre be m are p 2. Letter Permutations List all the permutations of the letters in the word MATH 11. Pass 1,2 be r 3. Speaking Order Seven elementary students are se- lected to give a 3-minute presentation on what they did during summer vacation. How many different ways can the speakers be arranged? hav in t 12. Au 4. Visiting Nurses How many different ways can a visit- ing nurse visit 9 patients if she wants to visit them all in one day? H ci 13. E 5. Quinto Lottery A lottery game called Quinto is played by choosing five numbers each, from 0 through 9. How many numbers are possible ? Although repeats are allowed, how many numbers are possible if repeats are not allowed? 6. Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands? 14. 7. Rolling Dice If five dice are rolled, how many different 15 outcomes are there? 8. Radio Station Call Letters The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed? At the Bogue Film Festival, the
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Transcribed Image Text:1. Zip Codes How many 5-digit zip codes are
possible if digits can be repeated? If there cannot be
repetitions?
10. Secre
be m
are p
2. Letter Permutations List all the permutations of the
letters in the word MATH
11. Pass
1,2
be r
3. Speaking Order Seven elementary students are se-
lected to give a 3-minute presentation on what they did
during summer vacation. How many different ways can
the speakers be arranged?
hav
in t
12. Au
4. Visiting Nurses How many different ways can a visit-
ing nurse visit 9 patients if she wants to visit them all in
one day?
H
ci
13. E
5. Quinto Lottery A lottery game called Quinto is played
by choosing five numbers each, from 0 through 9.
How many numbers are possible ? Although repeats are
allowed, how many numbers are possible if repeats are
not allowed?
6. Show Programs Three bands and two comics
are performing for a student talent show. How
many different programs (in terms of order) can be
arranged? How many if the comics must perform
between bands?
14.
7. Rolling Dice If five dice are rolled, how many different
15
outcomes are there?
8. Radio Station Call Letters The call letters of a radio
station must have 4 letters. The first letter must be a K
or a W. How many different station call letters can be
made if repetitions are not allowed? If repetitions are
allowed?
At the Bogue Film Festival, the
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