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a man has 7 relatives , 4 women and 3 men . His wife also has 7 relative , 3 women and 4 men . The number of ways in which they can invite 3 women and 3 men so that 3 of them are the man's relative and 3 his wife 's is

A

485

B

584

C

720

D

1024

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A man has 5 male and 4 female relatives. His wife has 4 male and 5 female relatives. The number of ways in which they can invite 5 male and 5 female relatives so that 5 of them are man's relatives and remaining 5 are his wife's relatives

    A
    A 5426
    B
    B 5226
    C
    C 5526
    D
    D 5626
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    B
    128
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    240
    D
    255
  • The number of ways in which 6 men and 4 ladies can sit around a round table so that no two ladies come together is

    A
    `6!""^(4)p_(6)`
    B
    `5! ""^(6)p_4`
    C
    `4!"^(5)p_(2)`
    D
    `4!""^(5)p_(3)`
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