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  • Question
  • If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is


  • Options
  • A. 9!
  • B. 9!/2
  • C. 10!
  • D. 10!/2

  • Correct Answer
  • 10!/2 

    Explanation

    As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

     

    A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

     

    A2 can speak in 9 places the remaining 

     

     A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

     

    when A2 speaks in the first place, the number of ways they can speak is 9.8!.

     

    When A2 speaks in second place, the number of ways they can speak is  8.8!.

     

    When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

     

     

     

    Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! =  9 2 ( 9 + 1 ) 8 !  = 10!/2

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

    More questions

    • 1. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

    • Options
    • A. 4 days
    • B. 6 days
    • C. 8 days
    • D. 18 days
    • Discuss
    • 2. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

    • Options
    • A. 145°
    • B. 150°
    • C. 155°
    • D. 160°
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    • 3. 
      Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

    • Options
    • A. 14 cm
    • B. 18 cm
    • C. 20 cm
    • D. 15 cm
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    • 4. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

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    • B. 25 m
    • C. 19.5 m
    • D.
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      7
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    • 6. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

    • Options
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    • 7. 
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    • Options
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    • Options
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    • 9. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

    • Options
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    • 10. 
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