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Lubov Fominskaja [6]
3 years ago
15

Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must

have the same number of men and women
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

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Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 w
Zepler [3.9K]

Answer:

The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is

x - 12 ≥ 40.

Step-by-step explanation:

Let us represent the number of bags of popcorn as p

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.

We have the equation:

$3 × p ≥ $120

3p ≥ $120

p ≥ 120/3

p ≥ 40 bags

He must sell at least 40 bags to make a profit

He has sold $36 worth of popcorn today.

1 bag is $3

Hence, he has sold

$36/$3 = 12 bags of popcorn

Which inequality can be used to find Jeff still needs to sell today to make a profit?

This equality is given as:

x - 12 bags ≥ 40 bags

x - 12 ≥ 40

x ≥40 - 12

x ≥ 28 bags

She still need to sell 28 more bags of popcorn.

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How many inches are in a foot then converted into millimeters
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Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the
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Stella divided 12/8.

If we divide 12 by 8, we get exactly 1.5.

Let us check given options one by one .

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D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.

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Answer:

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