Σ_(k=0)⁶ ^(51-k)C₃: is equal to | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQEasyJEE Main 2023 · 25 January, Shift 2Applications of P&C

$\sum_{k=0}^{6} {}^{(51-k)}C_3$ : is equal to

A
${}^{51}C_4 - {}^{45}C_4$
B
${}^{51}C_3 - {}^{45}C_3$
C
${}^{52}C_4 - {}^{45}C_4$
D
${}^{52}C_3 - {}^{45}C_3$

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