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skad [1K]
1 year ago
11

You are choosing 4 of your 7 trophies and arranging them in a row on a shelfIn how many different ways can you choose and arrang

e the trophies?A. 840B. 28C. 24D. 5040
Mathematics
1 answer:
erastova [34]1 year ago
6 0

The formula to find how many different ways are there to choose a subgroup of r things from a group of n things is

\frac{n!}{(n-r)!}

Here, you have 7 trophies and you want to choose 4 of them, so you have

\frac{7!}{(7-4)!}\text{ = }\frac{5040}{6}=840

So there are 840 ways to choose your 4 trophies out of the 7 you have.

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7 0
2 years ago
Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.
lyudmila [28]
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!
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3 years ago
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Answer:

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2 years ago
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