MCQ
$\sum\limits^{16}_{\text{r}+2}{^{16}}\text{C}_\text{r}=$
  • A
    215 - 15
  • B
    216 - 16
  • C
    216 - 17
  • D
    217 - 17

Answer

  1. 216 - 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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