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Eight chairs are numbered 1 to 8. Two w...

Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.

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The correct Answer is:
1440
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Eight chairs are numbered 1 to 8. two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chair marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select the chairs from amongst the remaining. The number of possible arrangements is

Knowledge Check

  • Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chair marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is

    A
    `^6C_3xx^4C_2`
    B
    `^4P_2xx^6P_3`
    C
    `^4C_2xx^4P_3`
    D
    None of these

  • Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select the chairs from amongst the remaining. The number of possible arrangements is:

    A
    `""^(4)C_(3)xx""^(4)C_(2)`
    B
    `""^(4)C_(2)xx""^(4)P_(3)`
    C
    `""^(4)P_(2)xx""^(4)P_(3)`
    D
    `""^(4)P_(2)xx""^(6)P_(3)`

  • Eight chairs are numbered 1 to 8. 2 women and 3 men wish to occupy one chair each. First, the women choose the chairs marked 1 to 4 and then the men select from amongst the remaining chairs. The number of seating arrangements is

    A
    1250
    B
    1360
    C
    1440
    D
    1560

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    Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a.^6C_3xx^4C_2 b. ^4P_2xx^4P_3 c. ^4C_2xx^4P_3 d. none of these

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