StationaryTraveller

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"... When a poet sings the song, and all are hypnotized, enchanted by the sound. We will mark the time as one, tandem in the sun, the rhythm of a hymn..."

75 Questions

 11 How many integers between [3,000, 8,000] have digit sum 20? 8 How many injective functions $f:[1,…,m]\to{[1,…,n]}$ has no fixed point? $(m\le n)$ 7 Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}dx$ [duplicate] 7 In how many ways can n couples (husband and wife) be arranged on a bench so no wife would sit next to her husband? 5 How many options are there for 15 student to divide into 3 equal sized groups?

1,013 Reputation

 +5 In how many ways can n couples (husband and wife) be arranged on a bench so no wife would sit next to her husband? +10 Prove the following equation: $\int_0^{\infty} \frac{\cos{(x)}}{1+x} \,\mathrm dx=\int_0^{\infty} \frac{\sin{(x)}}{(1+x)^2} \,\mathrm dx$ +5 How many options are there for 15 student to divide into 3 equal sized groups? +10 How many options are there for 15 student to divide into 3 equal sized groups?

 1 Prove that every undirected finite graph with vertex degree of at least 2 has a cycle 1 How many options are there for 15 student to divide into 3 equal sized groups? 1 Prove the following equation: $\int_0^{\infty} \frac{\cos{(x)}}{1+x} \,\mathrm dx=\int_0^{\infty} \frac{\sin{(x)}}{(1+x)^2} \,\mathrm dx$ 0 A farmer has 30 plants: 12 Roses, 12 Jasmine and 6 Lotus, How many possibilities can he plant them in a row

39 Tags

 1 calculus × 37 1 discrete-mathematics × 5 1 combinatorics × 26 0 convergence × 7 1 integration × 15 0 limits × 7 1 improper-integrals × 10 0 power-series × 4 1 graph-theory × 6 0 multivariable-calculus × 4

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