ABC26GN5271 · Permutations and Combinations

Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:

Evaluate : (i) ${ }^{10} C_{3}$ (ii) ${ }^{100} C_{98}$ (iii) ${ }^{60} C_{60}$

Answer

Answer (as printed):

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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