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Ronch [10]
3 years ago
15

Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 me

n and 3 women. How many different subcommittees are possible?
80

700

1,716
Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 . 

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Answer:

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So then the best distribution is the Geometric distribution given by:

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Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

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Solution to the problem

For this case the probability of getting a head is p=0.61

And the experiment is "The coin is tossed until the first time that a head turns up"

And we define the variable T="The record the number of tosses/trials up to and including the first head"

So then the best distribution is the Geometric distribution given by:

T \sim Geo (1-p=1-0.61)

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Step-by-step explanation:

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Let's solve your equation step-by-step.

25m+100−24m−75=68

Step 1: Simplify both sides of the equation.

25m+100−24m−75=68

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Answer:

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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Slope = rise/ run

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