Solved

Posted on 2011-10-25

Can any one please tell me with example the permutation ? Thanks

P(n,r) = n!/(n-r)!

P(n,r) = n!/(n-r)!

10 Comments

P (10,2) = 10! / (10-2)! = 10! / 8! = (10*9*8*7*6*5*4*3*2*1)/(8*

1 ab

2 ba

3 ac

4 ca

5 ad

6 da

7 ae

8 ea

9 af

10 fa

11 ag

12 ga

13 ah

14 ha

15 ai

16 ia

17 aj

18 ja

19 bc

20 cb

21 bd

22 db

23 be

24 eb

25 bf

26 fb

27 bg

28 gb

29 bh

30 hb

31 bi

32 ib

33 bj

34 jb

35 cd

36 dc

37 ce

38 ec

39 cf

40 fc

41 cg

42 gc

43 ch

44 hc

45 ci

46 ic

47 cj

48 jc

49 de

50 ed

51 df

52 fd

53 dg

54 gd

55 dh

56 hd

57 di

58 id

59 dj

60 jd

61 ef

62 fe

63 eg

64 ge

65 eh

66 he

67 ei

68 ie

69 ej

70 je

71 fg

72 gf

73 fh

74 hf

75 fi

76 if

77 fj

78 jf

79 gh

80 hg

81 gi

82 ig

83 gj

84 jg

85 hi

86 ih

87 hj

88 jh

89 ij

90 ji

permutations observe order

"ab" and "ba" are distinct results

combinations ignore order

"ab" and "ba" are the same result

90 possible permutations, "ab" and "ba" are the successes so 2/90

Example: The permutations of the letters in the set {a, b, c} are:

P (3,3) = 3! / (3-2)!=3x2x1/2x1=6

abc acb

bac bca

cab cba

Example: The permutations of the letters in the set {a, b, c} are:

P (3,3) = 3! / (3-3)!=3x2x1/1=6

abc acb

bac bca

cab cba

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