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4 years ago

A club consisting of 6 men and 8 women will choose a committee of 4. In how many ways

Mathematics

1 answer:

mixas84 [53]4 years ago

6 0

Answer:

The number of ways the committee be chosen is 295 ways.

Step-by-step explanation:

There are 6 men and 8 women.

A committee of 4, in which there must be at least 1 woman.

Let W- woman. M - man

So the combinations are: 1W, 3M or 2W, 2M or 3W, 1M or 4W

Now we have to use the combination formula and find the answer.

nCr = $\frac{n!}{r!(n-r)!}$

Using the above formula, we can find the answer.

4C1 × 7C3 + 4C2×7C2 + 4C3×7C1 + 4C4

= $= \frac{4!}{1!(4-1)!} .\frac{7!}{3!(7-3)!} +\frac{4!}{2!(4 -2)!} .\frac{7!}{2!(7 -2)!} + \frac{4!}{3!(4 -3)!} .\frac{7!}{1!(7-1)!} +\frac{4!}{4!(4-4)!}$

Simplifying the above factorials, we get

=4×35 + 6×21 + 4×7 + 1

= 140+126+28+1

= 295

The number of ways the committee be chosen is 295 ways.

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1. Calcula quatre solucions diferents de l'equació x – y = 5 , representa els punts amb ajuda d'uns eixos, i comprova que tots e

Bess [88]

Answer:

Hence 4 different points are as

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Step-by-step explanation:

Given:

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To Find:

4 different points on that line with.

Solution:

Now calculate the points on both axes in order to draw the line .

So Put x=0 then y=-5

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Hence draw line through this point and obtain the other two points by plotting on graph as follows:

(Refer the attachment)

Here the line is 4th quadrant so x will positive and y will negative

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1) Consider As x=1 then,

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Point will be (1,-4)

2)consider As x=2 then

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3)Consider As x=3 then

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3 0

3 years ago

Solve the inequality 2|4x-1|+8>20

miskamm [114]

#carry on learning

mark me as brainliest

hope it's help for you my dear friend

x e ( -°° '1 )u (2 ' plus°°

Step-by-step explanation:

use the quadratic formula to find

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3 years ago

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Maksim231197 [3]

Answer:

y = (4/3)x − 10

Step-by-step explanation:

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Divide each term in −3y = 8 − 4x by −3.

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Cancel the common factor of −3.

y= (8/−3) + (−4x/−3)

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y= (4x/3 - 8/3)

Reorder terms.

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