Answer: 2 1/2 inches
Step-by-step explanation:
Michael puts 3 beads next to each other which are on a peice of string to make a bracelet. A bead has a width of 5/6 inch. Total width of the three beads will be the number of beads multiplied by the width of each bead. This will be:
= 3 × 5/6
= 15/6
= 2 1/2
The total width of the bead are 2 1/2 inches
An = a1 r^(n-1)
here a1 = 6 and r = 3 so
a7 = 6 * 3^(7-1)
= 4374 answe
Answer: Combination
There are <u> 56 </u> committees possible
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Explanation:
The reason why we know we'll use a combination (instead of a permutation) is because order does not matter. There are no ranking positions on a committee. No one person has a special job compared to the other. The ordering of a committee doesn't matter. All that matters is the entire group itself. For instance, if we had people A,B,C then the committee ABC is the same as CBA and BAC. We would have to introduce a different person, say person D, to get a new committee group.
We have n = 8 people overall to choose from and r = 5 slots to fill. Use the combination formula to get
![_n C _r = \frac{n!}{r!*(n-r)!}\\\\_8 C _5 = \frac{8!}{5!*(8-5)!}\\\\_8 C _5 = \frac{8!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6*5!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6}{3!}\\\\_8 C _5 = \frac{8*7*6}{3*2*1}\\\\_8 C _5 = \frac{56*6}{6}\\\\_8 C _5 = 56\\\\](https://tex.z-dn.net/?f=_n%20C%20_r%20%3D%20%5Cfrac%7Bn%21%7D%7Br%21%2A%28n-r%29%21%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B8%21%7D%7B5%21%2A%288-5%29%21%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B8%21%7D%7B5%21%2A3%21%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B8%2A7%2A6%2A5%21%7D%7B5%21%2A3%21%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B8%2A7%2A6%7D%7B3%21%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B8%2A7%2A6%7D%7B3%2A2%2A1%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%20%5Cfrac%7B56%2A6%7D%7B6%7D%5C%5C%5C%5C_8%20C%20_5%20%3D%2056%5C%5C%5C%5C)
We can conclude there are 56 different committees possible.
That is the wrong answer. I just took the and got it wrong the right answer is (-4,-1).