7.How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetitionof digit is not allowed?Answer: There arepossible ways.8.In how many ways can 7 students be seated in:a) row?b) round table if two particular students must not be seated next to each other?9.Larry, Jun, Rod, Lyn and Espie are members of a group from which a committee of threewill be chosen. How many committees can be formed if:a) there is no restriction?waysh) Larry must be included?wavsLarry, Jun, Rod, Lyn and Espie are members of a group from which a committee of threewill be chosen. How many committees can be formed if:a) there is no restriction?waysb) Larry must be included?waysc) Jun is excluded?waysd) Larry is included and Jun is excluded?wayse) Larry and Jun are included?ways10.In how many ways can a committee of four be chosen from five married couple if thecommittee must consist of two men and two women?Answer: There will becommittees.

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Description: 7.How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetitionof digit is not allowed?Answer: There arepossible ways.8.In how many ways can 7 students be seated in:a) row?b) round table if two particular students must no

(1) We have 6 digits and 4-digit number is to be formed. We need to choose 4 digits randomly and…

Math

Algebra

How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetition of digit is not allowed? Answer: There are possible ways. 8. In how many ways can 7 students be seated in: a) row? b) round table if two particular students must not be seated next to each other?

How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetition of digit is not allowed? Answer: There are possible ways. 8. In how many ways can 7 students be seated in: a) row? b) round table if two particular students must not be seated next to each other?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

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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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

7.
How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetition
of digit is not allowed?
Answer: There are
possible ways.
8.
In how many ways can 7 students be seated in:
a) row?
b) round table if two particular students must not be seated next to each other?
9.
Larry, Jun, Rod, Lyn and Espie are members of a group from which a committee of three
will be chosen. How many committees can be formed if:
a) there is no restriction?
ways
h) Larry must be included?
wavs
Larry, Jun, Rod, Lyn and Espie are members of a group from which a committee of three
will be chosen. How many committees can be formed if:
a) there is no restriction?
ways
b) Larry must be included?
ways
c) Jun is excluded?
ways
d) Larry is included and Jun is excluded?
ways
e) Larry and Jun are included?
ways
10.
In how many ways can a committee of four be chosen from five married couple if the
committee must consist of two men and two women?
Answer: There will be
committees.

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