Permutation And Combination MCQ

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

• In an examination there are three multiple choice questions and each question has 4 choices. The number of ways in which a student can fail to get all answer correct is-
  ক

  11

  খ

  27

  গ

  12

  ঘ

  63
• In how many different ways can the letters the word FORMULATE be arranged?
  ক

  8100

  খ

  40320

  গ

  153420

  ঘ

  362880

  ঙ

  None of these
• In how many different ways can letters of the word OFFICES be arranged?
  ক

  2520

  খ

  5040

  গ

  1850

  ঘ

  1680

  ঙ

  None of these
• In how many different ways can the letters of the word DAILY be arranged?
  ক

  48

  খ

  60

  গ

  120

  ঘ

  160

  ঙ

  None of these
• In how many different ways can the letters of the word ‘BAKERY’ be arranged?
  ক

  2400

  খ

  2005

  গ

  720

  ঘ

  5040

  ঙ

  None of these
• In how many different ways can the letters of the word EXTRA be arranged so that the vowels are never together?
  ক

  120

  খ

  48

  গ

  72

  ঘ

  168

  ঙ

  None of these
• In how many ways can a committee of 4 people be chosen out of 8 people?
  ক

  32

  খ

  70

  গ

  110

  ঘ

  126

  ঙ

  None of these
• In how many different ways can the letters of the word OPERATE be arranged?
  ক

  64

  খ

  960

  গ

  20160

  ঘ

  40320

  ঙ

  None of these
• In how many different ways can the letters of the word ABSENTEE be arranged?
  ক

  512

  খ

  6720

  গ

  9740

  ঘ

  40320

  ঙ

  None of these
• $$\left( {{}^{75}{P_2} - {}^{75}{C_2}} \right) = ?$$
  ক

  0

  খ

  75

  গ

  150

  ঘ

  2775

  ঙ

  5550
• In how many different ways can the letters of the word SMART be arranged?
  ক

  25

  খ

  60

  গ

  180

  ঘ

  200

  ঙ

  None of these
• In how many different ways can the letters of the word TOTAL be arranged?
  ক

  45

  খ

  60

  গ

  72

  ঘ

  120

  ঙ

  None of these
• In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
  ক

  10080

  খ

  120960

  গ

  4989600

  ঘ

  21160

  ঙ

  None of these
• A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have at least 1 man?
  ক

  115

  খ

  120

  গ

  125

  ঘ

  140

  ঙ

  None of these
• In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
  ক

  120

  খ

  360

  গ

  1440

  ঘ

  13440

  ঙ

  4320
• There are six teachers. Out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teachers and secondary teachers are always in a set . The number of ways in which they can do so, is-
  ক

  52

  খ

  48

  গ

  34

  ঘ

  None of these
• In how many ways can the letters of the word ‘MOMENT’ be arranged?
  ক

  360

  খ

  60

  গ

  720

  ঘ

  120
• In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd positions?
  ক

  210

  খ

  576

  গ

  144

  ঘ

  1728

  ঙ

  3456
• In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come together?
  ক

  30

  খ

  48

  গ

  144

  ঘ

  576

  ঙ

  None of these
• A select group of 4 is to be formed from 8 men and 6 women in such a way that the group must have at least 1 women. In how many different ways can it be done ?
  ক

  364

  খ

  728

  গ

  931

  ঘ

  1001

  ঙ

  None of these
• In how many different way can the letters of the word WEDDING be arranged?
  ক

  2500

  খ

  2520

  গ

  5000

  ঘ

  5040

  ঙ

  NONE OF THESE
• In how many different ways can the letters of the word RIDDLED be arranged?
  ক

  840

  খ

  1680

  গ

  2520

  ঘ

  5040

  ঙ

  None of these
• In how many different ways can the letters of the word DISPLAY be arranged?
  ক

  720

  খ

  1140

  গ

  2520

  ঘ

  5040

  ঙ

  None of these
• In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
  ক

  48

  খ

  120

  গ

  124

  ঘ

  160

  ঙ

  None of these
• In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the odd positions?
  ক

  810

  খ

  1440

  গ

  2880

  ঘ

  50400

  ঙ

  None of these
• In how many different ways can the letters of the word ENGINEERING be arranged?
  ক

  277200

  খ

  92400

  গ

  69300

  ঘ

  23100

  ঙ

  None of these
• A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?
  ক

  22

  খ

  13

  গ

  24

  ঘ

  52

  ঙ

  None of these
• In how many different ways can the letters of the word BANANA be arranged?
  ক

  60

  খ

  120

  গ

  360

  ঘ

  720

  ঙ

  None of these
• Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many different ways can it be done?
  ক

  10

  খ

  20

  গ

  23

  ঘ

  30

  ঙ

  None of these
• A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the draw?
  ক

  32

  খ

  48

  গ

  64

  ঘ

  96

  ঙ

  None of these