Permutations an...

The number of distinguishable ways in which the 4 faces of a regular tetrahedron can be painted with 4 different colours is

In how many ways can a mixed doubles tennis game be arranged from a group of 10 players consisting of 6 men and 4 women

If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is

The number of all numbers that can be formed by using some or all of the digits 1, 3, 5, 7, 9 (without repetitions) is

A cricket team of eleven is to be chosen from among 8 batsmen, 6 bowlers and 2 wicket-keepers. In how many ways can the team be chosen, if there must be at least four batsmen, at least four bowlers and exactly one wicket-keeper?

Find Rank of word ‘wife ‘among the words that can be formed with its letters and arranged as in dictionary is

The maximum number of points at which 4 circles and 4 straight lines can intersect is

On the occasion of Diwali, each student of a class sends greeting cards to every other. If there are 20 students in the class, then the total number of greeting cards exchanged by the students is

The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is

Out of 9 consonants and 5 vowels, how many words of 3 consonants and 3 vowels can be formed?

Numbers greater than 1000 but not greater than 5000 are to be formed with the digits 0, 1, 2, 3, 5, allowing repetitions, the number of possible numbers is

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?

A lady arranges a dinner party for 6 guests .The number of ways in which they may be selected from among 10 friends if 2 of the friends will not attend the party together is

How many words can be formed by taking four different letters of the word MATHEMATICS?

H.C.F. of n !, (n + 1) ! and (n + 2) ! is

The number of ways in which one or more balls can be selected out of 10 white, 9 green and 7 blue balls is

A coin is tossed n times, the number of all the possible outcomes is