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Difference between revisions of "2007 iTest Problems/Problem 13"

(Created page with "== Problem == What is the smallest positive integer <math>k</math> such that the number <math>{{2k}\choose k}</math> ends in two zeros? <math>\text{(A) } 3 \quad \text{(B) } 4 ...")
(No difference)

Revision as of 23:03, 4 October 2014

Problem

What is the smallest positive integer $k$ such that the number ${{2k}\choose k}$ ends in two zeros?

$\text{(A) } 3 \quad \text{(B) } 4 \quad \text{(C) } 5 \quad \text{(D) } 6 \quad \text{(E) } 7 \quad \text{(F) } 8 \quad \text{(G) } 9 \quad \text{(H) } 10 \quad \text{(I) } 11 \quad \text{(J) } 12 \quad \text{(K) } 13 \quad \text{(L) } 14 \quad \text{(M) } 2007\quad$

Solution

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