The Number Of Ways Of Arranging Letters Of The Word RACHIT So That The Vowels Are In Alphabetical Order Is

The number of ways in which we can post 5 letters in 10 letter boxes is

The number of five digit telephone numbers having at least one of their digits repeated is

Let P be a prime number such that P ≥ 23. Let n = p! + 1. The number of primes in the list n + 1, n + 2, n + 3, … n + p – 1 is

The term digit of 1! + 2! + 3! + … + 49! Is

Four dice are rolled. The number of possible outcomes in which least one die shows 2 is

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen. The number of ways of choosing P and Q so that P ∩ Q = Ï• is

Let E = {1, 2, 3, 4} and F = {a, b}. then the number of onto functions from E to F is

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

The range of function 

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