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aryan bansal

i m a student (otaku alert)

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3 Prove that $\sum_{k=0}^{\lfloor (n-1)/2 \rfloor} (-1)^k {n+1 \choose k} {2n-2k-1 \choose n} =\frac{ n(n+1)}2 $ Jan 5
3 Prove that $\left|\frac{x^3y^3}{9x^4+y^4}\right| \le \frac{x^2+y^2}{6}$ Jan 17
2 at least $3$ digit not goes to its exact position Jan 17
2 Number of one-to-one functions $f: \{1, 2, 3, 4, 5\} \to \{0, 1, 2, 3, 4, 5\}$ such that $f(1) \neq 0, 1$ and $f(i) \neq i$ for $i = 2, 3, 4, 5$ Jan 5
2 Integral of $\frac{1}{\sin^2(x)\cos^2(x)}$ Aug 30 '19
2 An A-level Permutation Problem Dec 30 '19
2 Rearrangements of the monotonically increasing of integer numbers 1, 2, 3, …, n 2 days ago
2 Sequence of functions inequality Jan 4
2 Finding total number of possible numbers using below condition Dec 3 '19
1 How to demonstrate: $(p→r)∧(q→r) ⇔ p∨q→r$ Jan 13
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