1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of displaystyle∑r=022 22 Cr 23 Cr is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of $\displaystyle\sum_{r=0}^{22}{ }^{22} C_r{ }^{23} C_r$ is

JEE MainJEE Main 2023Binomial Theorem

Solution:

$\displaystyle \sum_{r=0}^{22}{ }^{22} C _{ r } \cdot{ }^{23} C _{ r }=\displaystyle\sum_{ r =0}^{22}{ }^{22} C _{ r } \cdot{ }^{23} C _{23- r }$
$ ={ }^{45} C _{23}$