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Permutations and Combinations question

2023 · 25 Jan · Shift 2 · Q37
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Permutations and Combinations question

2023 · 25 Jan · Shift 2 · Q37

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
∑k=0651−kC3\sum\limits_{k = 0}^6 {{}^{51 - k}{C_3}}k=0∑6​51−kC3​ is equal to :
  1. A
    51C4−45C4\mathrm{{}^{51}{C_4} - {}^{45}{C_4}}51C4​−45C4​
  2. B
    51C3−45C3\mathrm{{}^{51}{C_3} - {}^{45}{C_3}}51C3​−45C3​
  3. C
    52C3−45C3\mathrm{{}^{52}{C_3} - {}^{45}{C_3}}52C3​−45C3​
  4. D
    52C4−45C4\mathrm{{}^{52}{C_4} - {}^{45}{C_4}}52C4​−45C4​
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