Section 1
Introduction
How many 3 -digit numbers can be formed from the digits $1,2,3,4$ and 5 assuming that(i) repetition of the digits is allowed?(ii) repetition of the digits is not allowed?
How many 3 -digit even numbers can be formed from the digits $1,2,3,4,5,6$ if the digits can be repeated?
How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
How many 5 -digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?