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Quantitative Aptitude MCQ - Permutation And Combinations

56 In a football championship, 153 matches were played. Every team played one match with each other. The number of teams participating in the championship is

57 Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats?

58 Number n of license plates that can be made where each plate contains two distinct letters followed by three different digits is

n = 26 x 25 x 10 x 9 x 8 = 468000.
i.e. there are twenty-six choices for the first letter, but only twenty-five choices for the second letter which must be different from the first letter. Similarly, choices for the digits are 10, 9 and 8 since the digits must be distinct.

59 Six teachers and six students have to sit round a circular table such that there is a teacher between any two students. The number of ways in which they can sit is

60 The number of ways in which three girls and nine boys can be seated in two vans each having numbered seats with four in the back and three in the front?

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Six teachers and six students have to sit round a circular table such that there is a teacher between any two students. The number of ways in which…

A. 6 ! x 6 !
B. 5 ! x 6 !
C. 5! x 5!
D. none of these

Correct answer: D

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