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arlik [135]
4 years ago
9

A sales representative must visit eight cities. There are direct air connections between each of the cities. Use the multiplicat

ion rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities.
Mathematics
1 answer:
amid [387]4 years ago
4 0

Answer:

40,320 orders.

Step-by-step explanation:

By using the multiplication rule of counting, the sales representative has 8 choices for the first city, 7 choices for the second, 6 choices for the third, 5 choices for the fourth, 4 choices for the fifth, 3 choices for the sixth, 2 choices for the seventh, leaving just one city left to visit as the eight. Therefore, the number of different orders that the visits can be arranged is:

n=8*7*6*5*4*3*2*1\\n=40,320\ orders

There are 40,320 different possible orders.

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A president and vice president for a sorority are chosen from ten people. How many different president/vice president combinatio
Arisa [49]

Answer:

There are 90 ways.

Step-by-step explanation:

We have ten people and we have to chose 2 of those people to be the president and vice president. So first we can chose a president, we have 10 choices for president as there are 10 people.

Now we can chose vice president but this time we only have 9 choices because we already chose a president which gives us 9 other people to chose who the vice president is.

Now we need to multiply 10 and 9 together which gives us the total amount of possible combinations for president and vice president if there are 10 people to chose from.

10*9            multiplying

= 90.

Therefore there are 90 ways for a president and a vice president to be chosen for a sorority from ten people.

4 0
4 years ago
What’s the slope and y-intercept of y=x?
kotegsom [21]

Answer:

Slope is 1; y-int is (0, 0)

Step-by-step explanation:

<u>Step 1:  Identify the slope</u>

The slope is the number attached to the x.  Since in this problem there is no number or sign, that means that number in front of it is 1.

y = 1x is same as y = x

So... the slope is 1

<u>Step 2:   Identify the y-int</u>

The y-int is the number after the mx, also known as b.  In this problem there is no number after, that means that the y-int is 0.

y = mx + b

y = 1x + 0

So... the y-int is (0, 0)

Answer:  Slope is 1; y-int is (0, 0)

5 0
3 years ago
Read 2 more answers
What do people mean when they say “An eye for an eye will make the whole world blind”
Scorpion4ik [409]

Answer:

i think it means karma

Step-by-step explanation:

when you do something bad, later on down the road something bad will happen to you.

6 0
3 years ago
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4 Riley finds a recipe for bubble solution that uses 1 cup water, 2 cup dish soap,
Arada [10]

Answer:

1 cup

Step-by-step explanation:

the recipe calls for one cup of water per two cups of dish soap, so if she uses two cups of dish soap she should use one cup of water and one tablespoon of corn syrup.

4 0
3 years ago
(-6x3-4x2-8)+(x3-x2-9x+4) add together and simply
Aleksandr [31]

Answer:

-5x³ -5x² -9x - 4

Step-by-step explanation:

(-6x³-4x²-8)+(x³-x²-9x+4)

Add the like terms.

-6x³ and x³ are like terms. -6x³ + x³ = -5x³

-4x² and -x² are like terms. -4x² - x² = -5x²

-8 and 4 are like terms. -8 + 4 = -4

-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4

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3 years ago
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