Answer:
4.5
Step-by-step explanation:
Answer:
<u>36</u>
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
cause
Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
![C^{n} _{r}=\frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=C%5E%7Bn%7D%20_%7Br%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
![C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364](https://tex.z-dn.net/?f=C%5E%7B14%7D%20_%7B3%7D%3D%5Cfrac%7B14%21%7D%7B%2814-3%29%213%21%7D%3D%5Cfrac%7B14%2A13%2A12%2A11%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%7D%7B%2811%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2A%283%2A2%2A1%29%7D%3D%5Cfrac%7B14%2A13%2A12%7D%7B3%2A2%2A1%7D%20%3D364)