Answer:
b. 56
Step-by-step explanation:
Please consider the complete question.
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.
![^8C_3=\frac{8!}{3!(8-3)!}](https://tex.z-dn.net/?f=%5E8C_3%3D%5Cfrac%7B8%21%7D%7B3%21%288-3%29%21%7D)
![^8C_3=\frac{8!}{3!\cdot 5!}](https://tex.z-dn.net/?f=%5E8C_3%3D%5Cfrac%7B8%21%7D%7B3%21%5Ccdot%205%21%7D)
![^8C_3=\frac{8\cdot7\cdot6\cdot5!}{3\cdot2\cdot1\cdot 5!}](https://tex.z-dn.net/?f=%5E8C_3%3D%5Cfrac%7B8%5Ccdot7%5Ccdot6%5Ccdot5%21%7D%7B3%5Ccdot2%5Ccdot1%5Ccdot%205%21%7D)
![^8C_3=8\cdot7](https://tex.z-dn.net/?f=%5E8C_3%3D8%5Ccdot7)
![^8C_3=56](https://tex.z-dn.net/?f=%5E8C_3%3D56)
Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.
Answer:
yes The area of a triangle is b x h / 2 (base times height divided by 2)
Answer:
$82.00
Step-by-step explanation:
24 times 8 = 192 - 110 = 82
Answer:
c x >=3
Step-by-step explanation:
9-2x <= 3
Subtract 9 from each side
9-9-2x <=3-9
-2x <-6
Divide by -2. Remember to flip the inequality when multiplying or dividing by a negative number.
-2x/-2 >= -6/-2
x >=3
Answer:
18
Step-by-step explanation: