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Evaluate the Following:14c3 - Mathematics

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Evaluate the following:

14C3

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Solution

We have,

\[{}^{14} C_3 = \frac{14}{3} \times \frac{13}{2} \times \frac{12}{1} \times^{11} C_0\]  [∵\[{}^n C_r = \frac{n}{r} {}^{n - 1} C_{r - 1}\]
\[\Rightarrow\]\[{}^{14} C_3 = 364\]  [∵ \[{}^n C_0 = 1\]]
Concept: Combination
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.1 | Q 1.1 | Page 8

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