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:

where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1

Answer: 
Step-by-step explanation:
Given
The two communication mask are 2 km apart
Ubi's home is 500 m east of one of the mask
Suppose its distance from the other's is x
From the figure, we can write
Rime factorization of 2001:
By prime factorization of 2001 we follow 5 simple steps:
1. We write number 2001 above a 2-column table
2. We divide 2001 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table
<span>2001<span>prime factorsnumber to factorize</span><span>3667</span><span>2329</span><span>291</span></span>
<span>Prime factorization of 2001 = 1×3×23×29= </span><span>1 × 3 × 23 × 29</span>
Answer:
Negative infinity to infinity, 3 to infinity.