Evaluate : (i) ¹⁰ C₃ (ii) ¹⁰⁰ C₉₈ (iii) ⁶⁰ C₆₀ · ABC26GN5271
Subject: General Aptitude · Chapter: Permutations and Combinations
Evaluate : (i) ${ }^{10} C_{3}$ (ii) ${ }^{100} C_{98}$ (iii) ${ }^{60} C_{60}$
Answer
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Explanation
(i) ${ }^{10} C_{3}=\frac{10 \times 9 \times 8}{3 \times 2 \times 1}=120$. (ii) ${ }^{100} C_{98}={ }^{100} C_{(100-98)}={ }^{100} C_{2}=\frac{100 \times 99}{2 \times 1}=4950$. (iii) ${ }^{60} C_{60}=1\left[\because{ }^{n} C_{n}=1\right]$.
Explanation as extracted from the printed page; notation may be imperfect.
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