permutations and combinations MCQs – Page 2

Practise focused permutations and combinations questions with marked answers for exam preparation and subject revision.

permutations and combinations Mcqs

21. Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?
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A. 81

B. 36

C. 116

D. 91

22. Using all the letters of the word THURSDAY, how many different words can be formed?
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A. 7

B. 7!

C. 8

D. 8!

23. A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
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A. 185

B. 165

C. 205

D. 225

24. Using all the letters of the word NOKIA, how many words can be formed, which begin with N and end with A?
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A. 120

B. 24

C. 3

D. 6

25. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
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A. 2160

B. 5300

C. 4000

D. 4320

26. Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
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A. 32

B. 29

C. 55

D. 30

27. In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?
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A. 2160

B. 120

C. 4320

D. 720

28. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
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A. 750

B. 450

C. 300

D. 600

29. A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
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A. 300

B. 150

C. 200

D. 250

30. In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?
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A. 9

B. 14

C. 12

D. 18

31. A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
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A. ?C?

B. ?C?

C. C?

D. C?

32. How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?
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A. 40

B. 5040

C. 400

D. 2520

33. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
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A. 144

B. 120

C. 720

D. 36

34. How many three letter words are formed using the letters of the word TIME?
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A. 20

B. 12

C. 24

D. 16

35. 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
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A. 36

B. 60

C. 15

D. 48

36. The number of permutations of the letters of the word MESMERISE is___________?
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A. 9!/(2!)<sup>3</sup>3!

B. 5!/(2!)<sup>2</sup>3!

C. 9!/(2!)<sup>2</sup>(3!)<sup>2</sup>

D. 9!/(2!)23!

37. A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
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A. 215

B. 216

C. 243

D. 729

38. A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
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A. 512

B. 40

C. 1024

D. 20

39. There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
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A. 870

B. 435

C. 30!

D. 29! + 1

40. 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_________?
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A. 5

B. 7

C. 6

D. 18

Showing 21 to 40 of 47 mcqs