49. Find naerest integer value of a-b A.1000 B 1001 C 500 D 501

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Find the value of $^{1000} C_{500} +^{1000} C_{501}$

100 \sum n = 1 n \int n - 1 e^{x - [x]} d x,

[x]

\leq x,

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For a positive integer $n,$ let $a (n) = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} \dots + \frac{1}{2^{n} - 1}$ then

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