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labwork [276]
2 years ago
10

Julia is casting a play with 4 main roles. Six students

Mathematics
1 answer:
aev [14]2 years ago
7 0

Using the combination formula, it is found that Julia can take 15 combinations.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

C_{6,4} = \frac{6!}{4!2!} = 15

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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Answer:

m = 10

Step-by-step explanation:

The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>

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