If x is an integer greater than 2, the function f(x) represents the

Question

If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) – f(50)?

A. (51)50!
B. (50^2)49!
C. 50
D. 1
E. 0

chetan2u · Answer

This means f(x)=f(x-1), if x is odd number  
F(51) will be same as f(50)

Ans 0

So f(51)=2*4*6*....*50
And f(50)=2*4*6*....*50
Both are same , so Ans is 0

E

BrentGMATPrepNow · Answer

The key here is that  f(51) is EQUAL to f(50) 
Here's why: 
According to the definition of the function f,  f(51) = (2)(4)(6). . . (48)(50 ), and  f(50) = (2)(4)(6). . . (48)(50) 
So,  f(51)  -  f(50)  =  (2)(4)(6). . . (48)(50) ] -  (2)(4)(6). . . (48)(50) ]
= 0

Answer: E

ScottTargetTestPrep · Answer

Since both f(51) and f(50) are the product of all even integers from 2 to 50, inclusive, the difference between f(51) and f(50) is 0.

Answer: E

HridhayKapoor · Answer

If the question specifies in between then how can f(50) include 50? It isnt explicitly stated that it is inclusive

chetan2u · Answer

It uses the word inclusive, so both ends are included.

Between 2 and x, inclusive means x is included.

Bunuel · Answer

If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x,      inclusive     . What is f(51) – f(50)?

If x is an integer greater than 2, the function f(x) represents the

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If x is an integer greater than 2, the function f(x) represents the

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