15. Three ladies and two men sit at a round table. If the two men are not sitting next to cach other then the number of different arrangements is: -4 B 72 C: 24 D. 12 f the letters of the word FATHER that begin with a vowel is: A. 120
15. Three ladies and two men sit at a round table. If the two men are not sitting next to cach other then the number of different arrangements is: -4 B 72 C: 24 D. 12 f the letters of the word FATHER that begin with a vowel is: A. 120
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Solve Q15, 16 & 17 Showing detailly all steps
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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