8.) In how many ways can 6 keys be selected from 10 keys and arranged on a key chain?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Numbers 8-15?
using any road more than once?
Boo
8.) In how many ways can 6 keys be selected from 10 keys and arranged on a key chain?
9.) In how many ways can a man make up a party of one or more of his 6 best friends?
10.) Find the number of ways that 5 different math books, 4 different physics books, and 2 different
chemistry books can be placed on a shelf if the same subject must be kept together.
11.) Four couples are to be seated around a round table. Find the number of possible seating
arrangements if each couple is not to be separated.
12.) The senate of a certain country consists of 27 people from the party in power and 20 people
from the opposition party.
a.
How many 5 person committees can be formed without regard to party?
b. How many 5 person committees can be formed if at least 3 members must be from the
majority party?
13.) In how many ways can 8 people be seated around a table if a certain 2 people..
a.
...must sit next to each other?
ellos
seleb A (a
neso
b. ...must not sit next to each other?
14.) In how many ways is it possible for 10 customers to buy 5 cans of peaches, 3 cans of pineapp
and 2 cans of tomatoes if each customer gets 1 can?
15.)In how many ways can a committee of at least 2 and not more than 4 people can be choser
from a group of 8 people?
Transcribed Image Text:using any road more than once? Boo 8.) In how many ways can 6 keys be selected from 10 keys and arranged on a key chain? 9.) In how many ways can a man make up a party of one or more of his 6 best friends? 10.) Find the number of ways that 5 different math books, 4 different physics books, and 2 different chemistry books can be placed on a shelf if the same subject must be kept together. 11.) Four couples are to be seated around a round table. Find the number of possible seating arrangements if each couple is not to be separated. 12.) The senate of a certain country consists of 27 people from the party in power and 20 people from the opposition party. a. How many 5 person committees can be formed without regard to party? b. How many 5 person committees can be formed if at least 3 members must be from the majority party? 13.) In how many ways can 8 people be seated around a table if a certain 2 people.. a. ...must sit next to each other? ellos seleb A (a neso b. ...must not sit next to each other? 14.) In how many ways is it possible for 10 customers to buy 5 cans of peaches, 3 cans of pineapp and 2 cans of tomatoes if each customer gets 1 can? 15.)In how many ways can a committee of at least 2 and not more than 4 people can be choser from a group of 8 people?
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