Question
If out of $n$ objects, $p$ objects are of one type, 4 objects are of second type, $r$ objects are of third type and other are different, then write the number of permutations.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
If
$(1-\text{x}+\text{x}^{2})^{\text{n}}=\text{a}^{0}+\text{a}_{1}\text{x}+\text{a}_{2}\text{x}^{2}+...+\text{a}_{2\text{n}}\text{x}^{2\text{n}},$find the value of $\text{a}_{0}+\text{a}_{2}+\text{a}_{4}+...+\text{a}_{2\text{n}}.$