Permutations_and_Combinations.pdf

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  • 8/14/2019 Permutations_and_Combinations.pdf

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    1. F :. ++++ = 20. ++ = 5. 228 . 336 . 448 . 528

    2. F + + = 15. 902 . 728 . 734 . 904

    3. ABCD 3,4,5,6 AB, BC, CD, DA. :

    . 270 . 220 . 282 . 342

    4. ,, =24, :. 30 . 60 . 90 . 120

    5. 9 . : , . I 4

    2 ?

    . 1260 . 1280 . 840 . 1920

    6. 4 , 5 6 . I ?

    . 209 . 210 . 120 . 119

    7. 12 A B. I 4 12

    ?

    . 45 . 126 . 84 . 168

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    8. (>5). .H .

    A: C3 *(4)C1

    9. . . F .

    A: 126

    126

    10. . .

    , ?

    A: (+2)! / (1)!(1)!

    11. :

    . (7!)2. (6!)2. 6!7! . (7!)2

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    1. K (++) >, + = 15. .

    16C1

    . (++) = 5 7C2

    H =16

    C1*7C2 = 336

    2. : 42+ 2. K = 15 . , . 4*225 + 2 = 902

    3. 3C1*4C1*5C1+ 3C1*4C1*6C1+ 4C1*5C1*6C1+ 3C1*5C1*6C1 = 3424. = 24 = 2331

    C ,

    ++ = 3, ++ = 1

    =3+31

    C31*1+31

    C31 = 10*3 = 30

    5. 9!/4!2!3! = 12606. 5 0,1,2,3,4

    , 6 7 . H 210

    . 0 . 2101

    = 209 .

    7. 1, 2, 3, 4 . 1 2 3 4

    , , , , A & 1, 1& 2, . 4& B.

    , + + + + = 8

    , , . = 9C4 = 126

    8. A . :

    . H .

    H

    . H C3.

    . H ,

    = .

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    . H = *

    (4)C1

    . H = C3 * (4)C1

    9. = 12. . 6

    = 12*12*12*12*12*12 = 126

    6 = 126

    , 6 = 126 126

    10. . .CA ,

    .

    11. . I A 6!7!