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Binomial Theorem — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem1 Mark
MCQ
$\sum\limits^{16}_{\text{r}+2}{^{16}}\text{C}_\text{r}=$
  • A
    $ 2^{15}-15 $
  • B
    $ 2^{16}-16 $
  • ✓
    $ 2^{16}-17 $
  • D
    $ 2^{17}-17 $
✓

Answer

Correct option: C.
$ 2^{16}-17 $
Consider given the binomial expression,
$\sum\limits^{16}_{\text{r}+2}{^{16}}\text{C}_\text{r}={^{16}}\text{C}_{2}+{^{16}}\text{C}_{3}+{^{16}}\text{C}_{3}+\ .....\ {^{16}}\text{C}_{16}$
$=2^{16}-17$
Hence, this is the answer.

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