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Counting04
Contributed by: BouGhannam
A multiple choice question has 5 answers in which 2 ofthem only are correct. What is the number of casesin which you can answer this question?
Rule
Answer
Incorrect 
Incorrect 
Correct 
Correct 
Incorrect 
Consider the set of the four football teams F= {RMA, FCB, JUV, BYR}

     Each two teams in this set must play one game with

    each other.

 How many possible games are there?

Rule
Answer
If each one of this class (25 students) should shake hands
 once  with everybody else. How many hand-shakes will be?
Rule
Answer
We want to choose a team of three students to represent our school in a certain competition among schools from the students of third secondary (LS (25) & GS (19)). How many teams can be formed?
Rule
Answer
An ice-cream shop has 14 flavors of ice-cream.

You want a cone of ice-cream containing three flavors.

In how many ways can you choose your cone? 

Rule
Answer

A restaurant provides the following choices:
    Appetizer: soup or salad
    Entrée: chicken, pizza, liver, or beef

    Dessert: ice-cream or cheese-cake

A meal consists of choosing one item from Appetizer, one from
 Entrée and one from Dessert.
How many different meals can be ordered?
Rule
Answer
How many two-symbol code words can be formed if the first
 symbol is an uppercase English
letter and the second symbol is a
 digit? (Example: N1, C4, …)

Rule
Answer
A symbol can be an English letter (Upper or lower case), a digit from 0 to 9 or one of : %, $, @, -, _, # You Know that the password for your account is formed of 6 symbols.How many possible passwords are there? ( Note: the letters are case: sensitive: means that A≠a )
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there?
Rule

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: The three students should be one from each secondary year?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Note:If you want something AND something use     (×)
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the three students should be in the same secondary year?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Note:If you want something OR something use     (+)
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the three students should be all boys? all girls?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the three students should be a boy from each secondary year?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the three students should be boys in the second secondary?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the team should contain exactly one boy?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Or
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: there should be at least one boy in this team?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
Or
Rule
We want to choose a team of three students from the school to participate in a national contest. How many teams are there if: the team should contain at most two girls?

Boys

Girls

Total

First Secondary

18

12

30

Second Secondary

7

5

12

Third Secondary

15

13

28

Total

40

30

70

Answer
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