3. Which of the following is the combination notation of this problem: In a class of 10 boys and 15 girls, 5 boys and 8 girls will be chosen to sing a special number for the World Teachers' Day celebration. How many ways can the students be chosen? C. 10C5 • 15C8 D. 10C5 + 15Ca А. 25C13 B. 13C25

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Which of the following is the combination notation of this problem:
In a class of 10 boys and 15 girls, 5 boys and 8 girls will be chosen to sing a
special number for the World Teachers' Day celebration. How many ways can the
students be chosen?
A. 25C13
C. 10C5 • 15C8
B. 13C25
D. 10C5 + 15Ca
4. A combination of 3 balls are picked at random from a box containing 5 green, 4
white, and 3 black balls. In how many ways can the set be chosen to contain at
least 2 green balls? Which of the following combination notation will best
represent the problem?
A. 5C2
B. 12C3
C. sC2 7C1
D. 5C2 • 7C1 + sC3
5. Consider a standard deck of 52 cards. How many different four-card hands can
be formed with at most 2 jacks? Which of the following combination notation will
represent the problem?
A. 4C4
C. 52C, 52C2 52C3 52C4
D. 48C2 • 4C2 + 48C3 • 4C1 + 48C4 • 4Co
B. 52C4
Transcribed Image Text:3. Which of the following is the combination notation of this problem: In a class of 10 boys and 15 girls, 5 boys and 8 girls will be chosen to sing a special number for the World Teachers' Day celebration. How many ways can the students be chosen? A. 25C13 C. 10C5 • 15C8 B. 13C25 D. 10C5 + 15Ca 4. A combination of 3 balls are picked at random from a box containing 5 green, 4 white, and 3 black balls. In how many ways can the set be chosen to contain at least 2 green balls? Which of the following combination notation will best represent the problem? A. 5C2 B. 12C3 C. sC2 7C1 D. 5C2 • 7C1 + sC3 5. Consider a standard deck of 52 cards. How many different four-card hands can be formed with at most 2 jacks? Which of the following combination notation will represent the problem? A. 4C4 C. 52C, 52C2 52C3 52C4 D. 48C2 • 4C2 + 48C3 • 4C1 + 48C4 • 4Co B. 52C4
DIRECTIONS: Identify what is being asked in each question. Write your answer
on your paper.
1. Which of the following illustrates 25C8 ?
251
25!
А.
8!
25!
В.
17!
25!
С.
25!8!
D.
1718!
1
102
2. In
which of the following is the value of n?
C(15n,1)
C(18,4)
A. 2
В. 7
С. 12
D. 19
6 = C(18, 17), which of the following is the value of r?
D. 9
11!
3. In
r! (11, r)l
А. З
4. Six points lie on a circle. How many triangles can be drawn using these points
В. 5
С. 7
as vertices?
В. 10
С. 15
D. 20
A. 5
5. Five letters are to be selected from the word ALGORITHM. How many of these
choices contain at least 2 vowels?
А. З
В. 20
С. 36
D. 75
Transcribed Image Text:DIRECTIONS: Identify what is being asked in each question. Write your answer on your paper. 1. Which of the following illustrates 25C8 ? 251 25! А. 8! 25! В. 17! 25! С. 25!8! D. 1718! 1 102 2. In which of the following is the value of n? C(15n,1) C(18,4) A. 2 В. 7 С. 12 D. 19 6 = C(18, 17), which of the following is the value of r? D. 9 11! 3. In r! (11, r)l А. З 4. Six points lie on a circle. How many triangles can be drawn using these points В. 5 С. 7 as vertices? В. 10 С. 15 D. 20 A. 5 5. Five letters are to be selected from the word ALGORITHM. How many of these choices contain at least 2 vowels? А. З В. 20 С. 36 D. 75
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