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BlackZzzverrR [31]
4 years ago
9

Matilda, Tanya and Renee are auditioning for a play. In how many ways can the girls fill the roles of a grandmother, mother, and

daughter?
Would a permutation or combination be used to solve this problem?
Mathematics
2 answers:
Goryan [66]4 years ago
7 0

Answer: 1) In 6 ways the girls can fill the roles of a grandmother, mother, and daughter.

2) A permutation would be used to solve this problem

Step-by-step explanation:

Permutation is an arrangement of the elements of a list into a one to one correspondence with itself, where as a combination is a collection of things in which order doesn't matter at all.

In the given situation there are three girls named Matilda, Tanya and Renee are auditioning for a play. The girls have to fill the roles of a grandmother, mother, and daughter that means no girl can take two roles or no two girls can 1 role i.e. repetition is not allowed so by permutation ,

the number of ways the girls can fill the roles=\frac{n!}{(n-r)!}=\frac{3!}{(3-3)!}=3!=6,where n is the total roles and r is the number of girls.

Therefore, in 6 ways the girls can fill the roles of a grandmother, mother, and daughter.

solmaris [256]4 years ago
5 0
The girls fill the roles of a grandmother, mother, and daughter by permutation. It is a way, especially one of several possible variations, in which a set or number of things can be ordered or arranged. Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.
Paladinen [302]

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

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3 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
3 years ago
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ioda

Answer:

19

Step-by-step explanation:

8 0
3 years ago
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harry kept a weather journal for September The sun was shining on 4 out of every 5days on what percent of the days was not shini
stiks02 [169]
Answer: 20%
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3 years ago
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How do i use the decimals 2.47,9.57,and 7.1 to write two different addition facts and two different subtraction facts?
VARVARA [1.3K]

<u>Answers</u>

2.47 + 7.1 = 9.57

7.1 + 2.47 = 9.57

9.57 - 2.47 = 7.1

9.57 - 7.1 = 2.47


<u>Explanation</u>

A fact family is a group of math facts using the same numbers.  In the case of addition/subtraction, you use three numbers and get four facts.

In this case we are going to write two different addition facts and two different subtraction facts as follows:

2.47,9.57,and 7.1

<em><u>Addition facts</u></em>

2.47 + 7.1 = 9.57

7.1 + 2.47 = 9.57

<em><u>Subtraction</u></em>

9.57 - 2.47 = 7.1

9.57 - 7.1 = 2.47

7 0
4 years ago
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