Maharashtra State BoardHSC Commerce 11th
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Concept of Permutations - Properties of Permutations

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  • Properties of Permutations:
    (i) nPn = n!
    (ii) nP0 = 1
    (iii) nP1 = n 
    (iv) nPr = n × (n - 1)P(r - 1)
    = n(n -1) × (n - 2)P(r - 2)
    = n(n - 1)(n - 2) × (n - 3)P(r - 3) and so on.
    (v) `(np_r)/(np_(r - 1))= n - r + 1`.
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