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SOVA2 [1]
3 years ago
11

How many ways are there to choose a committee of 3 people from a group of 9 people?

Mathematics
1 answer:
QveST [7]3 years ago
3 0
C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84
You might be interested in
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
Pachacha [2.7K]

Step-by-step explanation:

Ounces of water = 56 - 14 = 42 ounces

Ratio of sugar to water

56 : 42

8 : 6

4 : 3

6 0
2 years ago
Read 2 more answers
Square root of 899 please give me the right answer.
crimeas [40]

Answer:

29.98332

Step-by-step explanation:

7 0
3 years ago
3. In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an e
eduard

Answer:

$78

Step-by-step explanation:

In the equation y = 2x + 40, x represents the number of months the member is a part of the club.

We are given that a certain member is part of the club for 19 months, so we substitute the number 19 in for x:

y = 2x + 40 = 2 * 19 + 40 = 38 + 40 = 78.

Thus, the total cost is $78.

Hope this helps!

8 0
2 years ago
Read 2 more answers
NEED HELP ASAP PLEASE!!
Westkost [7]

Answer:

your answer would be (B.)

Step-by-step explanation:

8 0
3 years ago
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