Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
 , where,
, where, 
n = Number of total items,   
r = Items being chosen at a time.         
For our given scenario  and
 and  .
.





Therefore, offices can be filled in 11,880 different ways.
       
     
 
        
             
        
        
        
Answer:
10
Step-by-step explanation:
1518 divided by 26 is 58 remainder 10.
... 1518 = 26×58 + 10 = 1508 + 10
Mr. Stephens will make 58 trips with a full load. After that, 10 tons of rock will remain.
 
        
             
        
        
        
It is a conversion factor.
For example to convert from eett to inches you  multiply by 12 in/ft, which is the conversion factor.
        
             
        
        
        
The correct answer is a 
(X+1)^2 - x^2=23
X^2 + 2x + 1 -x^2 =23
2x +1 =23
2x =22
X= 11
X+1= 12