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Permutations and Combinations Test - 53

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Permutations and Combinations Test - 53
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  • Question 1
    4 / -1
    A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is
    Solution

  • Question 2
    4 / -1
    The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do not occur together is
    Solution

  • Question 3
    4 / -1
    There are four balls of different colours and four boxes of colours same a those of the balls. The number of ways in which the balls, one in each box, could be placed such that a ball does not go to box of its own colour is
    Solution

  • Question 4
    4 / -1
    Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is
  • Question 5
    4 / -1
    The number of ways of dividing 52 cards amongst four players so that three players have 17 cards each and the fourth player just one card, is
    Solution

  • Question 6
    4 / -1
    A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw
    Solution

  • Question 7
    4 / -1
    m men and n women are to be seated in a row so that no two women sit together.If m > n, then the number of ways in which they can be seated is
    Solution

  • Question 8
    4 / -1
    A five digit number divisible by 3 has to be formed using the numberals 0,1,2,3,4 and 5 without repetition. The total number of ways in which this can be done is
  • Question 9
    4 / -1
    Ten persons , amongst whom are A,B and C to speak at a function. The number of ways in which it can be done if A wants to speak before B and B wants to speak before C is
    Solution

  • Question 10
    4 / -1
    The number of ways in which an examiner can assign 30 marks to 8 questions, awarding not less than 2 marks to any question is
    Solution

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