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P & C Test 189
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P & C Test 189

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  • Question 1/5
    1 / -0.25
    In how many different ways can a letter ‘SOME’ be arranged?
    Solutions
    The word 'SOME' has four distinct letters
    Number of arrangements = 4! = 4 × 3 × 2 × 1 = 24
  • Question 2/5
    1 / -0.25
    In how many different ways can the letters of the word ‘FINISH’ be arranged?
    Solutions
    Required number of ways =
  • Question 3/5
    1 / -0.25
    How many four digits even numbers can be formed from 2, 3, 6, 7 and 8 using each digit only once?
    Solutions
    Even digits = 2, 6, 8
    Number of ways choosing unit digit = 3C1 = 3 ways
    Required number of ways= 2 × 3 × 4 × 3 = 72 ways
  • Question 4/5
    1 / -0.25
    The number of ways in which 8 different boxes can be arranged on a shelf so that 3 particular boxes shall not be together:
    Solutions
    Number of ways in which 8 boxes can be arranged = 8!
    Number of ways when three particular boxes are together = 6! X 3! (here, three particular boxes are one entity which can be arranged in 3! ways)
    Therefore Number of ways when three particular boxes are not together = 8! – 6! X 3! = 6! X (7 x 8 – 3 x 2)
    = 6! X 50 = 720 x 50 = 36000
  • Question 5/5
    1 / -0.25
    How many words can be formed by using all letters of GOPAL, when vowels come together?
    Solutions
    Required numbers of ways = 4! X 2! = 48( here, O and A are one entity and they can be arranged in 2! ways)
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