Permutations an...

The number of different 6-digit numbers that can be formed using the three digits 0,1 and 2 is

The total number of $$9-$$digit numbers of different digits is

The numbers of three digit number can be formed by using the digits 0, 1, 2, 3, 7, 9 if any digit can be used in any number of time, is

The different six digit numbers whose 3 digits are even and 3 digits are odd is

A five-digit number divisible by $$3$$ is to be formed using the digits $$0, 1, 2, 3, 4$$ and $$5$$, without repetition. The total number of ways this can be done is

If $$m=^{n}\textrm{C}_{2}$$, then $$^{m}\textrm{C}_{2}$$ equals

The number of even numbers with three digits such that if 3 is one of the digit then 5 is the next digit are 

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is 

The number of ways in which one or more letters be selected from the letters $$AAAABBCCCDEF$$ is

The domain and range of the function $$\displaystyle f\left ( x \right ) = \sqrt{^{x^{2}+4x}C_{2x^{2}+3}}$$ are