Answer:

Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula

where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem

substitute

simplify



 
        
             
        
        
        
Answer:
x=2
Step-by-step explanation:
4( 2+x) = 18-x
8 + 4x = 18 - x
4x+x = 18-8
5x= 10
x=2
 
        
             
        
        
        
Answer:
B. He used the wrong expression to represent the area of the base of the pyramid.
Step-by-step explanation:
Given
See attachment for pyramid

Required
Vikram's error
The surface area of a square pyramid is:

Where




So:


By comparing the calculated expression with 

Option (b) is correct
 
        
             
        
        
        
Answer:216
Step-by-step explanation:
 
        
             
        
        
        
Here is your answer. Good luck!