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kvasek [131]
3 years ago
7

The Pi Mu Epsilon mathematics honorary society of Outstanding Universitywishes to have a picture taken of its six officers. Ther

e will be two rowsof three people. How many different way can the six officers be arranged?
Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

720

Step-by-step explanation:

I will use the following counting principle:

Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.

First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of  the set of six people, therefore there are \binom{6}{3}=20 ways of doing this.

Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.

By the product rule, there are 20×36=720 ways of arrange the officers.

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HELP PLZ
Ket [755]

Answer:

The value of 4 is an input of the function

Step-by-step explanation:

Let

x -----> the independent variable or input value

y ----> the dependent variable or output value

we know that

Looking at the graph

The domain (input values) of the linear function is equal to the interval

[1,∞)

x\geq 1

All real numbers greater than or equal to 1

The range (output values) of the linear function is equal to the interval

(-∞,3]

y\leq 3

All real numbers less than or equal to 3

therefore

The value of 4 is an input of the function

6 0
3 years ago
Read 2 more answers
What is the value of x in the proportion below? 8/72 = x/36
barxatty [35]

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

3 0
3 years ago
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If your brakes suddenly give out and your car is about to hit a tree, what should you never do?
inysia [295]
The one thing you should never do is go faster


4 0
2 years ago
Read 2 more answers
An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the follow
shusha [124]

Answer:

B. a_{n} = a_{n-1}+2; a_{1} = 2

Step-by-step explanation:

According to the statement, we find that the following two conditions must be observed:

a_{i} = 86 (Eq. 1)

a_{i}-a_{i-1} = 2 (Eq. 2)

Since the difference between two even numbers leads to another even number. Hence, a_{1} must be an even number and the correct answer is B.

3 0
2 years ago
What is the total area of the shape?<br><br> A 35 cm?<br> B 100 cm?<br> C 70 cm?<br> D 50 cm?
Vesnalui [34]

Answer:

C. 70 cm

Step-by-step explanation:

Split all the shapes, so, the square would be:

4 × 10 = 40

---------------------------------------------------------------------------------------------------------------

Each triangle has an area of 7.5:

7.5 × 4 = 30

---------------------------------------------------------------------------------------------------------------

30 + 40 = 70

---------------------------------------------------------------------------------------------------------------

Have a good day :)

4 0
3 years ago
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