Permutations an...

Nine hundred distinct n digit numbers are to be formed using only the 3 digits 2,5,7. The smallest value of n for which this is possible is _______

Let A be a set with n elements. The number of onto functions from A to A is _______

The number of number that can be formed using all the digits from 1,2,3,4,3,2,1 so that odd digits occupy odd places is _______

10 person are to be arranged around a round table. 3 persons wish to sit as a group number oways the arrangement can be made is _______

How many number greater than 10 lac be formed from 2,3,0,3,4,2,3 _______

The average of the four digits numbers that can be formed by using each of the digits 3,5,7,and 9 exactly once in each number is _______

In an examination a question paper consists of 10 questions which is divided into two parts. i.e part i and part ii containing 5 and 7 questions respectively. A student is required to attempt 8 question in all selecting at least 3 from each part. In how many ways can a student select the questions _______

A library has a copies of one book, b copies of two books, C copies of each of three books and single copy of d books. The total no. of ways in which these books can be distributed is _______

Three boys and three girls are to be seated around a round table in a circle. Among them the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour then the no. of arrangement is _______

4 boys picked up 30 mangoes. In how many ways can they divide them, if all mangoes be identical _______