Question
If ${ }^{11} C_{x}={ }^{11} C_{y}$ and $x \neq y$, then what is the value of $x+y$ ?
Step 1
We know that ${ }^{n} C_{r} = \frac{n!}{r!(n-r)!}$. So, we can write ${ }^{11} C_{x}$ as $\frac{11!}{x!(11-x)!}$ and ${ }^{11} C_{y}$ as $\frac{11!}{y!(11-y)!}$. Show more…
Show all steps
Your feedback will help us improve your experience
Aman Gupta and 51 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If ${ }^{11} C_{x}={ }^{11} C_{y}$ and $x eq y$, then what is the value of $x+y$ ?
If $y=x^{2}-3 x+2,$ find $x$ when $y=0 .[1.1]$
Functions and Graphs
Equations and Inequalities
Solve the equation for $x$ in terms of $y: y=\frac{a}{1+\frac{b}{x}+c}$
Review: Equations and Inequalities
Other Types of Equations
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD