If ${ }^{11} C_{x}={ }^{11} C_{y}$ and $x \neq y$, then what is the value of $x+y$ ?
Added by Anita H.
Step 1
The binomial coefficient \({ }^{n}C_{k}\) is defined as: \[ { }^{n}C_{k} = \frac{n!}{k!(n-k)!} \] Step 2: Given the equation \({ }^{11}C_{x} = { }^{11}C_{y}\), we can use the property of binomial coefficients which states that \({ }^{n}C_{k} = { }^{n}C_{n-k}\). Show more…
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