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Maths-

One hundred identical marbles are to be distributed to three children so that each gets atlest 20 and no two get equal number. The number of ways  of doing this is -

Maths-General

  1. 712
  2. 720
  3. 795
  4. 810

    Answer:The correct answer is: 795Let the children be A,B.C
    A   B   C  open table attributes columnalign right end attributes row 202159 row 3941 end table close curly brackets→19
    text  .................  end text
    323335 right curly bracket not stretchy rightwards arrow 1
    Total number of ways
    equals 1 plus 2 plus midline horizontal ellipsis.. plus 19 minus left parenthesis 17 plus 14 plus 11 plus 8 plus 5 plus 2 right parenthesis
    equals 190 minus 57 equals 133
    By termination
    Permutation
    133 cross times 3 factorial equals 798

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