The coefficients of $${x^p}$$ and $${x^q}$$ in the expansion of $${\left( {1 + x} \right)^{p + q}}$$ are

The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is

Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number is :

The sum of integers from 1 to 100 that are divisible by 2 or 5 is :