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QUIZ

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  3. PERMUTATION & COMBINATION BASIC MCQs -6
  • 1.
      In how many ways can a committee be selected from 15 persons if the committee is to have I. 3 members. II. 13 members.

  • 455 ; 105
  • 455 ; 104
  • 455 ; 103
  • 451 ; 102

  • 2.
      In how many ways can a student choose a programme of 5 courses if 9 courses area available and 2 courses are compulsory for every student?

  • 32
  • 33
  • 34
  • 35

  • 3.
      Determine the number of 5 card combination out of a deck of 52 cards if at least one of the five cards has to be a king.

  • 886656
  • 885656
  • 885665
  • 885566

  • 4.
      A question paper has two parts, part A and part B, each containing 10 questions. If the student has to choose 8 question from part A and 5 from part B, in how many ways can he choose the questions?

  • 11339
  • 11340
  • 11341
  • 11342

  • 5.
      A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

  • 10 ; 6
  • 11 ; 6
  • 12 ; 6
  • 13 ; 6

  • 6.
      In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 question in part I part 2 and part 3, respectively. What is the number of possible combinations in which she choose the questions?

  • 36749
  • 36750
  • 36751
  • 36752

  • 7.
      In class 11 examination, a candidate has to pass in all the five subjects taken in order to be declared as pass. In how many ways can he fail?

  • 30
  • 31
  • 32
  • 33

  • 8.
      A mathematics paper consists of 10 questions divided into two parts I and 2. Each part containing 5 questions. A student is required to attempt 6 question in all, talking at least 2 question from each part. In how many ways can the student select the questions?

  • 100
  • 200
  • 300
  • 400

  • 9.
      A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has I. No girls? II. At least one boy and one girl? III. At least three girls?

  • 21 ; 441 ; 91
  • 22 ; 442 ; 92
  • 21 ; 443 ; 93
  • 24 ; 444 ; 94

  • 10.
      How many words each of 3 vowels and 2 consonants, can be formed from the letters of the word ‘INVOLUTE’?

  • 24
  • 2880
  • 26
  • 2280

    Answers

    1 -> A
    2 -> D
    3 -> A
    4 -> B
    5 -> A
    6 -> B
    7 -> B
    8 -> B
    9 -> A
    10 -> B

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