Permutations and Combinations MCQ

Test your knowledge with important Permutations and Combinations MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Permutations and Combinations MCQs at Bissoy

• If each of the vowels in the word 'MEAT' is kept unchanged and each of the consonants is replaced by the previous letter in the English alphabet, how many four-lettered meaningful words can be formed with the new letters, using each letter only once in each word?
  ক

  3

  খ

  4

  গ

  1

  ঘ

  2
• In a bag containing red, green and pink tokens, the ratio of red to green tokens was 5 : 12 while the ratio of pink to red tokens was 7 : 15. What was the ratio of green to pink tokens?
  ক

  25 : 28

  খ

  36 : 7

  গ

  8 :25

  ঘ

  12 : 7
• The ratio of the members of blue to red balls in abag is constant. When there were 44 red balls, the number of blue balls was 36. If the number of blue balls is 54, how many red balls will be in the bag?
  ক

  68

  খ

  32

  গ

  64

  ঘ

  66
• How many such pair of letters are there in the word TROUBLED which have as many letters between them in the word as they have between them in the English alphabet?
  ক

  2

  খ

  3

  গ

  4

  ঘ

  5
• If it is possible to make a meaningful word with the first, the seventh, the ninth and the tenth letters of the word RECREATIONAL, using each letter only once, which of the following will be the third letter of the word? If more than one such word can be formed, give X as the answer. If no such word can be formed, give Z as the answer.
  ক

  T

  খ

  X

  গ

  N

  ঘ

  R
• From a pack of 52 cards, 3 cards are drawn together atrandom, What is the probability of both the cards are king?
  ক

  1\/5225

  খ

  1\/5525

  গ

  5525

  ঘ

  1\/525
• Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?
  ক

  42

  খ

  34

  গ

  31

  ঘ

  22
• A box contains 5 green, 4 yellow and 3 white marbles. Threemarbles are drawn at random. What is the probability thatthey are not of the same colour ?
  ক

  40\/44

  খ

  44\/41

  গ

  41\/44

  ঘ

  40\/39
• There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?
  ক

  1112

  খ

  2304

  গ

  1224

  ঘ

  2426
• How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?
  ক

  120

  খ

  240

  গ

  256

  ঘ

  360
• In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowelsalways come together?
  ক

  720

  খ

  1440

  গ

  1800

  ঘ

  3600
• In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?
  ক

  112420

  খ

  85120

  গ

  40320

  ঘ

  1209600
• In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?
  ক

  1,51,200 ways.

  খ

  5,04,020 ways

  গ

  72,000 ways

  ঘ

  None of the above
• In how many different ways can the letters of the word 'RITUAL' be arranged?
  ক

  720

  খ

  5040

  গ

  360

  ঘ

  180
• How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.
  ক

  64

  খ

  63

  গ

  62

  ঘ

  60
• A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king?
  ক

  15\/52

  খ

  17\/26

  গ

  13\/17

  ঘ

  15\/26
• A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?
  ক

  48

  খ

  24

  গ

  64

  ঘ

  32
• How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
  ক

  60

  খ

  48

  গ

  36

  ঘ

  20
• In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?
  ক

  720

  খ

  360

  গ

  120

  ঘ

  24
• In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?
  ক

  3360

  খ

  5040

  গ

  720

  ঘ

  1080
• From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?
  ক

  427

  খ

  531

  গ

  651

  ঘ

  714
• The number of ways in which 8 distinct toys can be distributed among 5 children?
  ক

  5P8

  খ

  5^8

  গ

  8P5

  ঘ

  8^5
• Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?
  ক

  43929

  খ

  59049

  গ

  15120

  ঘ

  0
• In how many different ways can the letters of the word 'ABYSMAL' be arranged ?
  ক

  5040

  খ

  3650

  গ

  4150

  ঘ

  2520
• In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ?
  ক

  186

  খ

  144

  গ

  136

  ঘ

  120
• Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?
  ক

  120

  খ

  256

  গ

  192

  ঘ

  244
• In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?
  ক

  5!

  খ

  6!

  গ

  4!

  ঘ

  Can't determine
• 36 identical booksmust be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?
  ক

  5

  খ

  6

  গ

  7

  ঘ

  8
• There are 11 True or False questions. How many ways can these be answered ?
  ক

  11!\/2

  খ

  1024

  গ

  11!

  ঘ

  2048
• A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?
  ক

  210

  খ

  168

  গ

  1260

  ঘ

  10!\/6!