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2 years ago

Suppose we want to choose 7 colors, without replacement, from 9 distinct colors

Mathematics

1 answer:

Digiron [165]2 years ago

6 0

The number of ways to choose the colors is 36

<h3>How to determine the number of ways?</h3>

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

This gives

$^nC_r = \frac{9!}{7!2!}$

Evaluate

$^nC_r = 36$

Hence, the number of ways is 36

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3 years ago

It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take

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A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estima

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Step-by-step explanation:

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5 0

3 years ago

Does anyone know this answer

Ivan

$\frac{1}{a} = \frac{1}{b} + \frac{1}{c} \\ \\ \frac{1}{12} = \frac{1}{b} + \frac{1}{22} \\ \\ \frac{1}{b} = \frac{1}{12} - \frac{1}{22} \\ \\ \frac{1}{b} = \frac{11}{132} - \frac{6}{132} \\ \\ \frac{1}{b} = \frac{11 - 6}{132} \\ \\ \frac{1}{b} = \frac{5}{132} \\ \\ 5b = 132 \\ \\ b = \frac{132}{5} \\ \\ b = 26.4 \\ \\ b = 26$

I hope I helped you^_^

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3 years ago