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E
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Difficulty:
25%
(medium)
Question Stats:
70% (01:13) correct
30%
(01:51)
wrong
based on 447
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History
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Time
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Not Attempted Yet
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
A. (51)50!
B. (50^2)49!
C. 50
D. 1
E. 0
22 Aug 2018, 22:28
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s55day
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
16 Jan 2020, 08:31
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s55day
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
