Permutations Combinations Questions and Answers : Aptitude

    Number of Permutations = npr = n!/(n-r)!


  • In how many different number of ways 4 boys and 2 girls can sit on a bench?

    A.) 620 B.) 640
    C.) 720 D.) None of these
    Answer: Option 'C'

    npn = n!

    6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720


  • In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?

    A.) 230 B.) 203
    C.) 220 D.) 210
    Answer: Option 'D'

    7p3 = 7 × 6 × 5 = 210


  • In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.

    A.) 720 B.) 5040
    C.) 4320 D.) None of these
    Answer: Option 'A'


  • In how many different ways can the letters of the word "CLAIM" be rearrangement?

    A.) 120 B.) 125
    C.) 130 D.) None of these
    Answer: Option 'A'

    The total number of arrangements is

    5P5 = 5! = 120


  • If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.

    A.) 142 B.) 141
    C.) 114 D.) None of these
    Answer: Option 'C'

    Total no'of arrangements 5P5 = 5! = 120

    no'of arrangements start with AE = 1 × 6 = 6

    no'of arrangements which do not start with AE = 120 - 6 = 114.



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