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BINOMIAL THEOREM — MATHS STD 11 Science — Question

Gujarat 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.
$2^{16}-17$
  1. $2^{16}-17$
Solution:
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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