1. How many 4-letter passwords can be formed using the letters in the word "HONESTY" if the 4-letter password a. Begins with a vowel? b. Begins with a consonant? c. Begins with a consonant and ends with a vowel?

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8. Using the letters in the word "SEMANTIC", how many 3-letter words can be made if
a. All letters are vowels?
b. All letters are consonant?
c. It begins with a consonant?
d. It begins with a vowel?
e. It begins and ends with a vowel?
9. How many ways can a person compose a 5-note melody using the chords C, D, E, F, G,
A, and B?
10. How many ways can the first, second, and third placer be chosen from 10 contestants.
11. How many ways can a student choose 5 questions from 15 questions?
12. How many ways can a committee of 5 members be chosen from 10 members.
13. How many diagonals does a regular decagon have?
14. A seven-member committee will be selected from 8 economists, 10 engineers, and 6
environmentalists. How many 7 member committees can be formed if a committee is
composed of
a. Three economists, 3 engineers and an environmentalist?
b. 5 engineers, an economist, and environmentalist?
c. All members are economists?
d. All members are engineers?
Transcribed Image Text:8. Using the letters in the word "SEMANTIC", how many 3-letter words can be made if a. All letters are vowels? b. All letters are consonant? c. It begins with a consonant? d. It begins with a vowel? e. It begins and ends with a vowel? 9. How many ways can a person compose a 5-note melody using the chords C, D, E, F, G, A, and B? 10. How many ways can the first, second, and third placer be chosen from 10 contestants. 11. How many ways can a student choose 5 questions from 15 questions? 12. How many ways can a committee of 5 members be chosen from 10 members. 13. How many diagonals does a regular decagon have? 14. A seven-member committee will be selected from 8 economists, 10 engineers, and 6 environmentalists. How many 7 member committees can be formed if a committee is composed of a. Three economists, 3 engineers and an environmentalist? b. 5 engineers, an economist, and environmentalist? c. All members are economists? d. All members are engineers?
1. How many 4-letter passwords can be formed using the letters in the word "HONESTY"
if the 4-letter password
a. Begins with a vowel?
b. Begins with a consonant?
c. Begins with a consonant and ends with a vowel?
2. How many ways can eight people in the persons of A, B, C, D, E, F, G, and H arrange
themselves in a row where A, B and C want to be seated side by side each other?
3. How many ways can the letters in the word "EXAGGERATE" be arranged?
4. How many ways can the positions for treasurer, secretary, and auditor be filled up if
there are 6 qualified applicants for any positions?
5. A person wants to bring with him 3 of his 15 collections of pocketbooks to an outing.
How many ways can he select the 3 books if he has already read 5 of them?
6. If a car plate will compose of 4 letters and 2 numbers where repetition is allowed, how
many car plates can be formed?
7. A certain password is composed of 2 different colors, 2 distinct letters and 2 different
numbers. If there are 5 colors to choose from and repetition is allowed, how many
passwords can be made?
Transcribed Image Text:1. How many 4-letter passwords can be formed using the letters in the word "HONESTY" if the 4-letter password a. Begins with a vowel? b. Begins with a consonant? c. Begins with a consonant and ends with a vowel? 2. How many ways can eight people in the persons of A, B, C, D, E, F, G, and H arrange themselves in a row where A, B and C want to be seated side by side each other? 3. How many ways can the letters in the word "EXAGGERATE" be arranged? 4. How many ways can the positions for treasurer, secretary, and auditor be filled up if there are 6 qualified applicants for any positions? 5. A person wants to bring with him 3 of his 15 collections of pocketbooks to an outing. How many ways can he select the 3 books if he has already read 5 of them? 6. If a car plate will compose of 4 letters and 2 numbers where repetition is allowed, how many car plates can be formed? 7. A certain password is composed of 2 different colors, 2 distinct letters and 2 different numbers. If there are 5 colors to choose from and repetition is allowed, how many passwords can be made?
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