FUNDAMENTAL PRINCIPLES OF COUNTING WORKSHEET

Problem 1 :

There are 10 boys and 8 girls. The teacher wants to select either a boy or a girl to represent in a function. In how many ways the teacher can make this selection ?

Solution

Problem 2 :

There are 3 candidates for a classical, 5 for Mathematical and 4 for Natural science scholarship.

i) In how many was can these scholarships be awarded ?

ii) In how many ways one of these scholarships be awarded ?

Solution

Problem 3 :

A room has 6 doors. In how many ways can a man enter the room through one door and come out through a different door ?

Solution

Problem 4 :

The flag of a newly formed forum is in the form of three blocks, each to be colored differently. If there are six different colors on the whole to choose from, how many such designs are possible ?

Solution

Problem 5 :

Find the number of 4 letter words with or without meaning which can be formed out of the letters of the word ROSE, when

i) The repetition of letters is not allowed 

ii) the repetition of letters is allowed

Solution

Problem 6 :

Given 4 flags of different colors, how many different signals can be generated if the signal requires the use of 2 flags one below the other ?

Solution

Problem 7 :

Find the total number of ways of answering 5 objective type questions, each question having 4 choices.

Solution

Problem 8 :

There are 6 multiple choice questions in an examination. How many sequence of answers are possible, if the first three questions have 4 choices each and the next three have 5 each ?

Solution

Problem 9 :

How many three digit numbers can be formed without using the digits 0, 2, 3, 4, 5 and 6 ?

Solution