Search any question & find its solution
Question:
Answered & Verified by Expert
If \( { }^{n} C_{12}={ }^{n} C_{8} \), then \( \mathrm{n} \) is equal to
Options:
Solution:
2110 Upvotes
Verified Answer
The correct answer is:
\( 20 \)
Given that ${ }^{n} C_{12}={ }^{n} C_{8}$
We know that ${ }^{n} C_{r}={ }^{n} C_{n-r}$
Here, $r=12$ and $n-r=8$
So, $n=12+8=20$
We know that ${ }^{n} C_{r}={ }^{n} C_{n-r}$
Here, $r=12$ and $n-r=8$
So, $n=12+8=20$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.