Question:medium

The value of

\[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \] 

is ______.

Show Hint

Always start combining terms with the smallest index using the Pascal's identity: ${}^nC_r + {}^nC_{r-1} = {}^{n+1}C_r$.
Updated On: Apr 30, 2026
  • \( {}^{52}C_4 \)
  • \( {}^{52}C_2 \)
  • \( {}^{48}C_4 \)
  • \( {}^{48}C_2 \)
Show Solution

The Correct Option is A

Solution and Explanation

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