The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
        
                    
             
        
        
        
Answer:
The answer is 4
Step-by-step explanation:
2/3 x 6= 4
 
        
             
        
        
        
X=45 since 90-45=45
Hope this helps
        
                    
             
        
        
        
The sequence is given by (n+5)²
For n=100:
(100+5)² = 105² = 11025
        
             
        
        
        
Complete Question 
The complete question is shown on the first uploaded image 
Answer:
a
    No singular point due to the exponent in the solution 
     The interval is   
b
    NONE
Step-by-step explanation:
From the question we are told that 
      
The generally solution is mathematically represented as 
          
=>       
 integrating both sides  
          
   =>   
  =>   
  =>    
Here 
 =>     
From the above equation we see that the domain for x has no singular point the interval is 
        
Also there is no transient term in the general solution obtained because as   there no case where
 there no case where 