Permutation and Combination

Aptitude Permutation And Combination Study Materials

Permutations:

  • Permutations are the different arrangements of a given number of things by taking some or all at a time.

Examples:

  • All permutations (or arrangements) that can be formed with the letters a, b, c by taking three at a time are (abc, acb, bac, bca, cab, cba)
  • All permutations (or arrangements) that can be formed with the letters a, b, c by taking two at a time are (ab, ac, ba, bc, ca, cb)

Combinations:

  • Each of the different groups or selections formed by taking some or all of a number of objects is called a combination.

Examples:

  • Suppose we want to select two out of three girls P, Q, R. Then, possible combinations are PQ, QR and RP.¬†(Note that PQ and QP represent the same selection.)
  • Suppose we want to select three out of three girls P, Q, R. Then, only possible combination is PQR

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