Permutations an...

A five digit number divisible by 3 is to be formed using the digit 0,1,2,3,4,5 without repetition, The number of ways this can be done is _______

The maximum no. of points into which 4 circles and 4 straight lines intersect is _______

The sides AB,BC,CA of a triangle ABC have 3,4 and 5 interior points respectively on them the total no. of triangle that can be constructed by using these points as vertices is _______

Seven different teachers are to deliver lectures in seven periods of a class on a particular day. A,B and C are three of the teachers. The no.of ways in which a routine for the day can be made such that A delivers his lacture before B and B before C is _______

If the different permutations of all the letters of the word EXAMINATION are listed in a dictionary then how many words are there in this list before the first word begins with E ?

The number of ways in which in a necklace can be formed by using 5 identicle red beads and 6 identicle black beads is

In an examination a candidate has to pass in each of the four subjects.In how many ways can he fail?

Ten different letters of english alphabet are given. Out of these letters, words of 5 letters are formed. How many words are formed when at least one letter is repeated ?