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In how many different ways can five people be seated in a row if two of them insist on not sitting next to each other?

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In how many ways can 3 English, 3 history, and 2 math books be set on a shelf, if the English books are set on the left, history books in the middle, and math books on the right?

72

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In how many ways can 3 English, 3 history, and 2 math books be set on a shelf, if they are grouped by subject?

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You have 5 math books and 6 history books to put on a shelf with five slots. In how many ways can you put the books on the shelf if the first two slots are to be filled with math books and the next three with history books?

2,400

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You have 5 math books and 6 history books to put on a shelf with five slots. In how many ways can you put the books on the shelf if the first two slots are to be filled with the books of one subject and the next three slots are to be filled with the books of the other subject?

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Circular permutations and permutations with similar elements

Do the following problems using the techniques learned in this section.

In how many different ways can five children hold hands to play "Ring Around the Rosy"?

24

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In how many ways can three people be made to sit at a round table?

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In how many different ways can six children ride a "Merry Go Around" with six horses?

120

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In how many ways can three couples be seated at a round table, so that men and women sit alternately?

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In how many ways can six trinkets be arranged on a chain?

120

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In how many ways can five keys be put on a key ring?

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Find the number of different permutations of the letters of the word MASSACHUSETTS.

64,864,800

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Find the number of different permutations of the letters of the word MATHEMATICS.

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Seven flags, three red, two white, and two blue, are to be flown on seven poles. How many different arrangements are possible?

210

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How many different ways can three pennies, two nickels and five dimes be arranged in a row?

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How many four-digit numbers can be made using two 2's and two 3's?

6

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How many five-digit numbers can be made using two 6's and three 7's?

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If a coin is tossed 5 times, how many different outcomes of 3 heads, and 2 tails are possible?

10

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If a coin is tossed 10 times, how many different outcomes of 7 heads, and 3 tails are possible?

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If a team plays ten games, how many different outcomes of 6 wins, and 4 losses are possible?

210

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If a team plays ten games, how many different ways can the team have a winning season?

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Combinations

Do the following problems using combinations.

How many different 3-people committees can be chosen from ten people?

120

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How many different 5-player teams can be chosen from eight players?

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In how many ways can a person choose to vote for three out of five candidates on a ballot for a school board election?

10

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Compute the following:

  1. 9C2 size 12{9C2} {}

  2. 6C4 size 12{6C4} {}

  3. 8C3 size 12{8C3} {}

  4. 7C4 size 12{7C4} {}

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How many 5-card hands can be chosen from a deck of cards?

2,598,960

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How many 13-card bridge hands can be chosen from a deck of cards?

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There are twelve people at a party. If they all shake hands, how many different hand-shakes are there?

66

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In how many ways can a student choose to do four questions out of five on a test?

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Questions & Answers

general equation for photosynthesis
Ojasope Reply
6CO2 + 6H2O + solar energy= C6H1206+ 6O2
Anastasiya
meaning of amino Acids
AJAYI Reply
a diagram of an adult mosquito
mubarak Reply
what are white blood cells
Mlungisi Reply
white blood cell is part of the immune system. that help fight the infection.
MG
what about tissue celss
Mlungisi
Cells with a similar function, form a tissue. For example the nervous tissue is composed by cells:neurons and glia cells. Muscle tissue, is composed by different cells.
Anastasiya
I need further explanation coz celewi anything guys,,,
Calvin Reply
hey guys
Isala
on what?
Anastasiya
hie
Lish
is air homogenous or hetrogenous
damiane Reply
homogenous
Kevin
why saying homogenous?
Isala
explain if oxygen is necessary for photosynthesis
Allice Reply
explain if oxygen is necessary for photosynthesis
Allice Reply
Yes, the plant does need oxygen. The plant uses oxygen, water, light, and produced food. The plant use process called photosynthesis.
MG
By using the energy of sunlight, plants convert carbon dioxide and water into carbohydrates and oxygen by photosynthesis. This happens during the day and sunlight is needed.
NOBLE
no. it s a product of the process
Anastasiya
yet still is it needed?
NOBLE
no. The reaction is: 6CO2+6H20+ solar energy =C6H12O6(glucose)+602. The plant requires Carbon dioxyde, light, and water Only, and produces glucose and oxygen( which is a waste).
Anastasiya
what was the question
NOBLE Reply
joining
Godfrey
the specific one
NOBLE
the study of non and living organism is called.
Godfrey
Is call biology
Alohan
yeah
NOBLE
yes
Usher
what Is ecology
Musonda Reply
what is a cell
Emmanuel Reply
A cell is a basic structure and functional unit of life
Ndongya
what is biolgy
Hawwi Reply
is the study of living and non living organisms
Ahmed
may u draw the female organ
MARTIN Reply
i dont understand
Asal
:/
Asal
me too
DAVID
anabolism and catabolism
Sani Reply
Anabolism refers to the process in methabolism in which complex molecules are formed "built" and requires energy to happen. Catabolism is the opposite process: complex molecules are deconstructed releasing energy, such as during glicolysis.
Anastasiya
Explain briefly independent assortment gene .
Otu Reply
hi
Amargo
hi I'm Anatalia
Joy
what do you mean by pituitary gland
Digambar
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Source:  OpenStax, Applied finite mathematics. OpenStax CNX. Jul 16, 2011 Download for free at http://cnx.org/content/col10613/1.5
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