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klio [65]
4 years ago
8

A committee of six Congressmen will be selected from a group of eight Republicans and four Democrats. Find the number of ways of

obtaining a committee with exactly three Republicans.
Mathematics
1 answer:
marysya [2.9K]4 years ago
5 0

Answer:

224

Step-by-step explanation:

Given that a committee of six Congressmen will be selected from a group of eight Republicans and four Democrats.

Total no of ways of selecting 6 persons from the given list

= taking 6 persons out of 12 persons

= 12C6\\=924

Favourable ways

= ways of selecting 3 republicians

= 3 republicians and 3 democrats

= 8C3(4C3)\\= 4(56)\\\\=224

the number of ways of obtaining a committee with exactly three Republicans.

= 224

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assuming the first equation is x+y+7=0
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The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
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5 0
3 years ago
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The perimeter of a rectangular field is 296 yards. if the length of the field is 79 yards, what is its width?
Len [333]
Perimeter of rectangle is 2L + 2W
perimeter is 296
length of field is 79

Solve
2L + 2W = 296
2(79) + 2W = 296
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4 years ago
Is 9.78083 a rational number
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4 0
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Which is the measure of line segment AB?<br> A)10 feet<br> B)15 feet<br> C)20 feet<br> D)100 feet
zavuch27 [327]
Find the last angle:
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180-(120)
60

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c=\frac{bsinC}{sinB}

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3 years ago
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Two sides of a triangle are equal in length and double the length of the shortest side . The perimeter of the triangle is 36 inc
Firdavs [7]

Answer:

The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.

Step-by-step explanation:

P = 36in // perimeter of triangle

P = A + B + C //equation for perimeter of a triangle

A = B or B = A //Showing that two sides are equal in length

A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side

C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side

Solve for C //First we solve for the shortest side as it's easiest

36 = A + B + C

36 = 2C + 2C + C //Use substitution for A and B

36 = 5C

C = 7.2in

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A = 2C

A = 2(7.2) //Use what we solved for C

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Solve for B

B = A

B = 14.4in //Same as A

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P = A + B + C

P = 14.4 + 14.4 + 7.2

P = 36

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3 years ago
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