Sequences and S...

Choose the correct answer alternatives given.
Select the missing number from the given alternatives.

If $$1^{3} + 2^{3} + .... + 10^{3} = 3025$$, then the value of $$2^{3} + 4^{3} + ..... + 20^{3}$$ is

If $$12\times 16 = 188$$ and $$14\times 18 = 248$$, then find the value of $$16\times 20 = ?$$

How many different $$4$$-person committees can be chosen form the $$100$$ members of the Senate ?

Arrange these numbers in ascending order. 
$$756, 567, 657, 676$$ 

The number of ways in which we can select 5 letters of the word INTERNATIONAL is equal to

Statement I: The function f(x) in the figure is differentiable at x = a
Statement II: The function f(x) continuous at x = a

The total number of different combinations of one
or more letters which can be made from the letter of the word MISSISSIPPI is,

The total number of non-negative integer n satisfying the
equation $$ {n^2} = p + q\,and\,{n^3} = {p^2} + {q^2}$$, where p and q are
integers, is

Number of arrangements of the letter $$HOLLYWOOD$$ in which all $$Os$$ are separated.