Permutations an...

5 men and 6 women have to be seated in a straight row, so that no two women are together. Find the number of ways in which this can be done

If all permutations of the letters of the word AGAIN are arranged as in dictionary, then fiftieth word will be

If ⁿC_4, ⁿC₅ and ⁿC₆ are in A.P, then n is equal to

A 5-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 in which this can be done is

The number of integral solutions of the equation x₁ + x₂ + x₃ + x₄ = 16, x_i > 0 is:

A basket contains 12 red, 10 black and 5 pink balls. 5 balls are drawn at random. The number of ways of drawing at least 2 black balls is

The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

In a function, 10 persons including A, B and C have to perform. If A has to perform before B and B has to perform before C, how many different ways are there to arrange the order of their performances?