A. 6 ways 18. Licence plate numbers have 2 distinct letters form the 26 letters of the alphabet followed by 3 digits which must not all be zero form the digits 0 to 9. The number of such distinct license plates is: A. 26 x 26 x 1000 B. 26 x 25 x 1000 C. 26 x 26 x 999 D. 26 x 25 x 999 diacent vertices. In a
A. 6 ways 18. Licence plate numbers have 2 distinct letters form the 26 letters of the alphabet followed by 3 digits which must not all be zero form the digits 0 to 9. The number of such distinct license plates is: A. 26 x 26 x 1000 B. 26 x 25 x 1000 C. 26 x 26 x 999 D. 26 x 25 x 999 diacent vertices. In a
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Question
Solve Q18, 19 & 20 Showing detailly all steps
![15.Three ladies and two men sit at a round table. If the two men are not sitting next to each
other then the number of different arrangements is: -
A. 120
16. The number of permutations of the letters of the word FATHER that begin with a vowel js:
A. 24
17. A number greater than 20 is to be formed from the digits 2, 3, 4, if each digit is selected only
once the number can be formed in
D. 12
В 72
C. 24
C. 480
D. 720
В. 240
B. 9 ways
C. 12 ways
D. 27 ways
A. 6 ways
18. Licence plate numbers have 2 distinct letters form the 26 letters of the alphabet followed by
3 digits which must not all be zero form the digits 0 to 9. The number of such distinct license
plates is:
A. 26 x 26 x 1000
19. A diagonal of a polygon is defined to be a line joining any two non-adjacent vertices. In a
polygon of 8 sides the number of diagonals is:
A. 8
B. 26 x 25 x 1000 C. 26 x 26 x 999 D. 26 x 25 x 999
X
8x2
В. 10
C. 16
D. 20
20. A subcommittee of six including a chair person is to be chosen form a main committee of
eight. If the chairperson is to be a specified member of the main committee the
subcommittee can be chosen in:
E. 56 ways
D. 20160 ways
A. 21 ways
21. A delegation of three or four Christians is to be selected form a men fellowship of eight
members. The number of ways in which this can be done is:
B. 28 ways
A. 56
B. 70
E. 126
D. 3920
22. A candidate has to answer 6 questions out of 8. If she must answer the first 2 questions the
she can chese the 6 questions in:
A. 360 ways
23. The number of different groups of four letters that can be made from the leiters of the word
B. 30 ways
C. 28 ways
D. 15 ways
Cat
В. 11
SEREKI is
A. 15
C. 10
D. 192](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0232d210-1885-4969-8167-6cf8bc29cde4%2Ffaf6fedf-b31c-44fa-84c1-9f743b862056%2F4ck4vpnk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:15.Three ladies and two men sit at a round table. If the two men are not sitting next to each
other then the number of different arrangements is: -
A. 120
16. The number of permutations of the letters of the word FATHER that begin with a vowel js:
A. 24
17. A number greater than 20 is to be formed from the digits 2, 3, 4, if each digit is selected only
once the number can be formed in
D. 12
В 72
C. 24
C. 480
D. 720
В. 240
B. 9 ways
C. 12 ways
D. 27 ways
A. 6 ways
18. Licence plate numbers have 2 distinct letters form the 26 letters of the alphabet followed by
3 digits which must not all be zero form the digits 0 to 9. The number of such distinct license
plates is:
A. 26 x 26 x 1000
19. A diagonal of a polygon is defined to be a line joining any two non-adjacent vertices. In a
polygon of 8 sides the number of diagonals is:
A. 8
B. 26 x 25 x 1000 C. 26 x 26 x 999 D. 26 x 25 x 999
X
8x2
В. 10
C. 16
D. 20
20. A subcommittee of six including a chair person is to be chosen form a main committee of
eight. If the chairperson is to be a specified member of the main committee the
subcommittee can be chosen in:
E. 56 ways
D. 20160 ways
A. 21 ways
21. A delegation of three or four Christians is to be selected form a men fellowship of eight
members. The number of ways in which this can be done is:
B. 28 ways
A. 56
B. 70
E. 126
D. 3920
22. A candidate has to answer 6 questions out of 8. If she must answer the first 2 questions the
she can chese the 6 questions in:
A. 360 ways
23. The number of different groups of four letters that can be made from the leiters of the word
B. 30 ways
C. 28 ways
D. 15 ways
Cat
В. 11
SEREKI is
A. 15
C. 10
D. 192
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