Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $P(32,6)=k C(32,6)$, then what is the value of $k$ ?
MathematicsPermutation CombinationNDANDA 2009 (Phase 1)
Options:
  • A 6
  • B 32
  • C 120
  • D 720
Solution:
1061 Upvotes Verified Answer
The correct answer is: 720
Since ${ }^{32} \mathrm{P}_{6}=\mathrm{k}^{32} \mathrm{C}_{6}$
$\Rightarrow \frac{32 !}{(32-6) !}=k \cdot \frac{32 !}{6 !(32-6) !}$
$\Rightarrow \mathrm{k}=6 !=720$

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.