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 on Bissoy. Bissoy App

• 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
• A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?
  ক

  3

  খ

  5

  গ

  3!

  ঘ

  5!
• From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?
  ক

  91

  খ

  104

  গ

  109

  ঘ

  98
• In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?
  ক

  4! x 4!

  খ

  5! x 5!

  গ

  4! x 5!

  ঘ

  3! x 4!
• In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
  ক

  360

  খ

  700

  গ

  720

  ঘ

  120
• In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
  ক

  720

  খ

  520

  গ

  700

  ঘ

  750
• 6! = _____________
  ক

  24

  খ

  120

  গ

  720

  ঘ

  8