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Each of 2010 boxes in a line contains one red marble and for `1lekle2010`, the box is the `k^(th)` position also contain `k` white marbles. A child begins at the fist box and successively drawn a single marble at random each box in order. The stops when be fist draws a red marble. Let `p(n)` be the probability that the stops after drawing exactly `n` marbles. The possible value (s) of `n` for which `p(n)lt 1/ 2010` is:

A

44

B

45

C

46

D

47

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The correct Answer is:
B, C, D
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