I. A. Solve problems involving permutation and combination
II. PERMUTATION/COMBINATION
Solving problems involving permutation and combination
LM10
Chart with exercises
Develop speed, accuracy and critical thinking
III. A. 1. Let the students differentiate permutation from combination
2. Ask them to give the equations to be used in solving problems
that involves permutation and combination
3. Determine whether the following situations would require
calculating a2permutation or a2combination:
a. Selecting three students to attend a conference in
Washington, D.C.
b. Assigning students to their seats on the first day of school.
B. Analyze and answer the following problems below
1. In a certain country, the car number plate is formed by 4 digits
from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters
from the alphabet. How many number plates can be formed if
neither the digits nor the letters cannot be repeated?
2. A committee including 3 boys and 4 girls is to be formed from
a group of 10 boys and 12 girls. How many different committees
can be formed from the group?
3. How many triangles can you make using 6 non collinear points
on a plane?
4. There are fourteen juniors and twenty-three seniors in the
Service Club.2 The club is to send four representatives to the
State Conference.
a.)2 How many different ways are there to select a group of four
students to attend the conference?
b.)2 If the members of the club decide to send two juniors and
two seniors, how many different groupings are
possible?23,023
5. Out of 7 consonants and 4 vowels, how many words of 3
consonants and 2 vowels can be formed?
6. In a group of 6 boys and 4 girls, four children are to be selected. In
how many different ways can they be selected such that at least one boy
should be there?
7. In how many different ways can the letters of the word
'CORPORATION' be arranged so that the vowels always come together?
8. What are the steps in solving problems involving permutation and
combination?
C. The fundamental Principle of Counting
If one thing can occur in m ways and a second thing can occur in n
ways and a third can occur in r ways and so on, then the sequence of
things can occur in m x n x r ....ways.
A permutation is an arrangement of thing in a definite order or the
ordered arrangement of distinguishable objects. P(n,r)= n!/(n-r)!
A combination is a selection of an object from a group where the order is
Not important. C(n,r)= n!/(n-r)!r!
D. Analyze and answer the following problems below.
1. A teacher is making a multiple choice quiz.2 She wants to give each
student the same questions, but have each student's questions appear in a
different order.2 If there are twenty-seven students in the class, what is the
least number of questions the quiz must contain?
2. The local Family Restaurant has a daily breakfast special in which the
customer may choose one item from each of the following groups:
Breakfast Sandwich Accompaniments Juice
Egg and ham Breakfast potatoes Orange
Egg and bacon apple slices Cranberry
Egg and cheese fresh fruit cup tomato
Pastry apple
grape
a.)How many different breakfast specials are possible?
b.)How many different breakfast specials without meat are possible?
3. 2From a group of 7 men and 6 women, five persons are to be selected to
form a committee so that at least 3 men are there on the committee. In
how many ways can it be done?
4. 2In how many different ways can the letters of the word 'OPTICAL' be
arranged so that the vowels always come together?
5. In how many ways can a group of 5 men and 2 women be made out
