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Activity Sheet in Grade 10 - Mathematics 3 Quarter (SY:2020 - 2021) Combinations

1. The document is an activity sheet for a 10th grade mathematics class on combinations. It contains questions to distinguish between permutations and combinations, calculate combinations using formulas, and solve word problems involving combinations. 2. In part A, students identify tasks as representing either permutations or combinations. In part B, they calculate combination formulas. 3. Part C contains word problems requiring using combinations to find the number of elimination games in a tournament, possible polygons that can be formed from points, combinations of cards from a deck, and ways to select math problems to solve.

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Reginald Mundo
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623 views4 pages

Activity Sheet in Grade 10 - Mathematics 3 Quarter (SY:2020 - 2021) Combinations

1. The document is an activity sheet for a 10th grade mathematics class on combinations. It contains questions to distinguish between permutations and combinations, calculate combinations using formulas, and solve word problems involving combinations. 2. In part A, students identify tasks as representing either permutations or combinations. In part B, they calculate combination formulas. 3. Part C contains word problems requiring using combinations to find the number of elimination games in a tournament, possible polygons that can be formed from points, combinations of cards from a deck, and ways to select math problems to solve.

Uploaded by

Reginald Mundo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Activity Sheet in Grade 10 – Mathematics

3rd Quarter (SY:2020 – 2021)


Combinations
Name: Mundo, Reginald Felix Z. Date: 04/05/2021
Grade & Section: Gr. 10- C. Aquino

MELC: Illustrates the combination of objects.


Differentiates permutation from combination of objects taken at a time.
Derives the formula for finding the number of combinations of n objects taken r at a time.
Solves Problems involving permutations and combinations.

A. Write P if the task/activity represents permutations and write C if the task/activity represents a
combination.

__P__1. Determining the top three winners in a Science Quiz Bee


__C__2. Forming lines from six given points with no three of which are collinear
__C__3. Forming triangles from 7 given points with no three of which are collinear
__P__4. Four people posing for pictures
__P__5. Assembling a jigsaw puzzle
__C__ 6. Choosing 2 household chores to do before dinner
__C__ 7. Selecting 5 basketball players out of 10 team members for the different positions
__C__ 8. Choosing three of your classmates to attend your party
__C__ 9. Picking 6 balls from a basket of 12 balls
__C__10. Forming a committee of 5 members from 20 people

B. Find the unknown in each item.


1. C (10, 3) = 120

2. C (13, 2) = 78

3. C (11, 3) = 165

4. C (8, 6) = 28

5. C (14,10) = 1,001
C. Solve the following problems completely. Show your solutions.
1. If there are 12 teams in a basketball tournament and each team must play every other
team in the eliminations, how many elimination games will there be?
➢ There will be 66 Elimination Games.
2. If there are 7 distinct points on a plane with no three of which are collinear, how many
different polygons can be possibly formed?
➢ There will be 99 possible polygons can be formed.
3. How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
➢ There are 2,598,960 different set of 5 cards can be formed from a standard deck of
52 cards.
4. In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems
to solve?
➢ There are 252 ways we can select 5 problems on a 10-item Mathematics problem-
solving test to solve.
5. In problem number 4, how many ways can you select the 5 questions if you are required
to answer question number 10?
➢ There are 126 ways we can select the 5 questions when we are required to answer
the question number 10.

Reflection:

“How will I apply my learnings in real-life problems and making decisions?”

I understand that...
In this lesson, we need to analyze each problem. In order to understand, we should
get and spread out the information we analyzed in the problem and understand the
procedure so that we can identify the formula.

I realized that …
Just like in real-life problems, We should analyze and identify each given and
information carefully so that we can solve the problem efficiently.

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