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  • Question
  • A Group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?


  • Options
  • A. 1152
  • B. 1278
  • C. 1296
  • D. None of these

  • Correct Answer
  • 1152 

    Explanation

    Case I :  MW  MW  MW  MW

     

    Case II:  WM  WM  WM  WM

     

    Let us arrange 4 men in 4! ways, then we arrange 4 women in 4P4 ways at 4 places either left of the men or right of the men. Hence required number of arrangements

     

        4 !   ×   4 P 4     +   4 !   ×   4 P 4     =   2   ×   576   =   1152

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

    More questions

    • 1. 
      The area of circle is 38.5 sq. cm. Its circumference is?

    • Options
    • A. 6.20 cm
    • B. 11 cm
    • C. 22 cm
    • D. 121 cm
    • Discuss
    • 2. A man buys a watch for Rs1950 in cash and sells it for Rs 2200 at a credit of 1 yr. The rate of interest is 10% per annum. Then he gains or loose how much amount?

    • Options
    • A. 50
    • B. 55
    • C. 15
    • D. 45
    • Discuss
    • 3. Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

    • Options
    • A. 300
    • B. 350
    • C. 250
    • D. 275
    • Discuss
    • 4. The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is

    • Options
    • A. 27months
    • B. 23months
    • C. 20months
    • D. 12months
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    • 5. 
      In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is?

    • Options
    • A. 4 cm
    • B. 5 cm
    • C. 6 cm
    • D. 7 cm
    • Discuss
    • 6. 
      The perimeter of an isosceles triangle is equal to 14 cm . The lateral side is to the base in the ratio 5 : 4 the area of the triangle is?

    • Options
    • A. 1/2?21 cm2
    • B. 3/2?21 cm2
    • C. ?212
    • D. 2?21 cm2
    • Discuss
    • 7. 
      The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m 2 is?

    • Options
    • A. Rs. 688.80
    • B. Rs. 735
    • C. Rs. 730.80
    • D. Rs. 722.50
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    • 8. 
      A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is?

    • Options
    • A. 300
    • B. 400
    • C. 600
    • D. 4000
    • Discuss
    • 9. 
      The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

    • Options
    • A. 99 meters
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    • C. 63 meters
    • D. 136 meters
    • Discuss
    • 10. 
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    • Options
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