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stiv31 [10]
3 years ago
9

Choose 3 values for x that would make this inequality true. 24 > 2 ( x + 2)

Mathematics
1 answer:
Aleks [24]3 years ago
8 0
0, 1, 2
all are less than 24
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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
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Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

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3 years ago
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Answer:

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Step-by-step explanation:

f(x) = x^2 - 2x

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f(6) = 6^2 - 2(6)

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     = 24

3 0
3 years ago
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