The digits, from 0 to 9, are written on slips of paper and placed in a box. Three of the Slips of paper are drawn and placed in order. How many different outcomes are possible ?

There are 5 routes from place A to place B and 3 routes from place B to place C. Find how many different routes are there from A to C via B.

Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from the first six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible ?

The numbers 1, 2, 3 and 4 are written separatly on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

The numbers 1,2,3 and 4 are written separatley on four slips of paper. The slips are put in a box and mixed throughly. A person draws two slips from the box, one after the other without replacement. Describe the sample space for the experiment.

The students in a class are seated according to the marks in the previous examination. Once it so happens that four of these students get equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements, one in each of separate bits of paper, in order to choose one of these by lots. How many bits of paper are required ?

A code word is to consist of two distinct English alphabets followed by two distinct numbers from 1 to 9. For example, PA 31 is one such code word. How many different words are possible? How many end in an odd number ?

A number lock on a suitcase has 3 wheels each labeled with ten digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no box remain empty if .

If there are 20 steamers plying between places A and B, in how many ways could the round trip from A be made if the return was made on : a different steamer ?

It has been decided that the flag of a newly formed forum will be in the form of three blocks, each coloured differently. If there are six colours on the whole to choose from, how many designs are possible ?