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.Management Sciences
Category: Permutations and Combinations
In how many ways can live boys and three girls sit in a row such that all boys sit together?
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A. 4800
B. 5760
C. 2880
D. 15000
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A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?
A. 5
B. 6
C. 7
D. 18
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A. 63
B. 90
C. 126
D. 45
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
A. 165
B. 185
C. 205
D. 225
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How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
A. 60
B. 360
C. 120
D. 240
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The number of permutations of the letters of the word ‘MESMERISE’ is___________?
A. 9!/(2!)2 3!
B. 9!/(2!)3 3!
C. 9!/(2!)2 (3!)2
D. 5!/(2!)2 3!
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