F 24cx = 24c2x + 3, Find X. - Mathematics

24Cx = 24C2x + 3, find x.

Solution

Given:
24Cx = 24C2x + 3
We have,

$24 = x + 2x + 3$ [∵${}^n C_x = {}^n C_y \Rightarrow x = y$]  or, $n = x + y$
$\Rightarrow 24 = 3x + 3$
$\Rightarrow 3x = 21$
$\Rightarrow x = 7$
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.1 | Q 5 | Page 8