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# Permutations and Combinations Questions - Permutation and Combinations

31:

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

 A. 17 B. 18 C. 9 D. none of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
32:

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

 A. 60 B. 20 C. 15 D. 125 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Mahender said: (5:47pm on Tuesday 8th December 2015) 5p3=5!/2!=5*4*3*2!/2!=60 Write your comments here:
33:

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

 A. 486000 B. 468000 C. 498000 D. 489000 Answer Report Discuss Option: B Explanation : 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. Click on Discuss to view users comments. Write your comments here:
34:

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

 A. 6 ! x 6 ! B. 5 ! x 6 ! C. 5! x 5! D. none of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
35:

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 fron t?

 A. 7! B. 2 (7!) C. 7 (13!) D. 12! Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:

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