The sequence f(n) = (2n)! ÷ n! is defined for all positive integer values of n. If x is defined as the product of the first 10 ten terms of this sequence, which of the following is the greatest factor of x?
(A) 2^20
(B) 2^30
(C) 2^45
(D) 2^52
(E) 2^55
I think the answer is E. Look at the image below to see my reasoning (MS Word makes the calculations look alot neater). Let me know of any flaws. Thanks in advance.
(A) 2^20
(B) 2^30
(C) 2^45
(D) 2^52
(E) 2^55
I think the answer is E. Look at the image below to see my reasoning (MS Word makes the calculations look alot neater). Let me know of any flaws. Thanks in advance.
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