Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsPermutations , combinations and binomial expansion2 Marks
Question
If ${ }^{n} \mathbf{C}_{4}={ }^{n} \mathbf{C}_{6}$ then find the value of $n$.
✓
Answer
we know that if ${ }^{n} \mathrm{C}_{x}={ }^{n} \mathrm{C}_{y}$ then,
Option $1 :$
$ x+y =n$
$\therefore 4+6 =n$
$\therefore n =10 $
Thus, the value of $n$ is $10 .$
Option $2 :$
$x =y$
$\therefore 4 =6$
Which is impossible.
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