The number of ways in which 6 boys and 4 girls can be seated around a round table such that 2 special boys and a special girl never sit together is
The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y -axis is
$$ \int \frac{\mathrm{d} x}{x^{\frac{1}{2}}+x^{\frac{1}{3}}}=\mathrm{A} x^{\frac{1}{2}}+\mathrm{B} x^{\frac{1}{3}}+\mathrm{C} x^{\frac{1}{6}}+\mathrm{D} \log \left(x^{\frac{1}{6}}+1\right)+\mathrm{k} $$
(where k is the integration constant) then values of $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D are respectively,
The probability that a non leap year selected at random will contain 52 Saturdays or 53 Sundays is
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