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Binomial Theorem question

2025 · 2 Apr · Shift 2 · Q42
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  5. /2025 · 2 Apr · Shift 2 · Q42

Binomial Theorem question

2025 · 2 Apr · Shift 2 · Q42

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
If ∑r=010(10r+1−110r).11Cr+1=α11−11111010, then  α  is  equal  to:If\,\sum\limits_{r = 0}^{10} {({{{{10}^{r + 1}} - 1} \over {{{10}^r}}}).{}^{11}{C_{r + 1}} = {{{}_\alpha 11 - {{11}^{11}}} \over {{{10}^{10}}}},\,then\,\,\alpha \,\,is\,\,equal\,\,to:}Ifr=0∑10​(10r10r+1−1​).11Cr+1​=1010α​11−1111​,thenαisequalto:
  1. A
    11
  2. B
    20
  3. C
    24
  4. D
    15
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