please answer 3 and 4 PROBLEM SET # 8Direction: Read and analyze the following problems on counting principle,combinations, and permutations and solve as indicated. Solutions arenecessary.1. In how many ways can students in a college be classified according to year (1st to4th) if there are 10 major courses?2. In how many ways can vehicles be classified if there are 5 different colors, 4 typesof tires and 3 shades of tint for the windows? from a group of 6 men and 5 ladies?4. How many committees of 4 men can be formed from a group of 10 me13 boys and 11 girls?0. in how many ways can 3 men be selected from 10 men if one of them is alwaysincluded in every selection?7. How many permutations can be made from the letters in the wordsa) MATHEMATICS; andb) STATISTICS?8. Ten people are to sit at a round table. Find the number of seating arrangements ifthe host and the hostess must always sit together.9. In how many ways can 4 boys and 4 girls be seated at a round table if each girl is tosit between two boys?5. many of 5 boys and 4 girls can be from a of

Name: please answer 3 and 4 PROBLEM SET # 8Direction: Read and analyze the f
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Description: please answer 3 and 4 PROBLEM SET # 8Direction: Read and analyze the following problems on counting principle,combinations, and permutations and solve as indicated. Solutions arenecessary.1. In how many ways can students in a college be classified ac

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How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6 men and 5 ladies?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 38RE: A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

please answer 3 and 4

PROBLEM SET # 8
Direction: Read and analyze the following problems on counting principle,
combinations, and permutations and solve as indicated. Solutions are
necessary.
1. In how many ways can students in a college be classified according to year (1st to
4th) if there are 10 major courses?
2. In how many ways can vehicles be classified if there are 5 different colors, 4 types
of tires and 3 shades of tint for the windows?

from a group of 6 men and 5 ladies?
4. How many committees of 4 men can be formed from a group of 10 me
13 boys and 11 girls?
0. in how many ways can 3 men be selected from 10 men if one of them is always
included in every selection?
7. How many permutations can be made from the letters in the words
a) MATHEMATICS; and
b) STATISTICS?
8. Ten people are to sit at a round table. Find the number of seating arrangements if
the host and the hostess must always sit together.
9. In how many ways can 4 boys and 4 girls be seated at a round table if each girl is to
sit between two boys?
5. many of 5 boys and 4 girls can be from a of

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