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melisa1 [442]
3 years ago
10

Are 5/10 and 1/6 equivalent ratios

Mathematics
1 answer:
stealth61 [152]3 years ago
5 0
No because 5/10 is half but 1/6 is not
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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
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Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

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

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

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

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