Find n if, ^n C_8= ^n C_ 12 - Vidyadip

Question

Find n if,

${ }^n C_8={ }^n C_{12}$

✓

Answer

${ }^n C_8={ }^n C_{12}$

If ${ }^n C_x={ }^n C_y$, then either $x=y$ or $x=n-y$

∴ 8 = 12 or 8 = n – 12

But 8 = 12 is not possible

∴ 8 = n – 12

∴ n = 20

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