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  • Question
  • If there are 10 positive real numbers n 1 < n 2, n 3 .... < n 10 How many triplets of these numbers (n 1, n 2, n 3) (n 2, n 3, n 4), ... can be generated such that in each triplet the first number is always less than the second number and the second number is always less the third number?


  • Options
  • A. 45
  • B. 90
  • C. 120
  • D. 180

  • Correct Answer
  • 120 

    Explanation

    Three numbers can be selected and arranged out of 10 numbers in 10P3 ways 10!/7! = 10 x 9 x 8
    Now, this arrangement is restricted to a given condition that first number is always less than the second number and second number is always than the third number. Thus, three numbers can be arranged among themselves in 3! ways.
    Hence, required number of arrangement = (10 x 9 x 8)/(3 x 2)
    = 120 ways


  • More questions

    • 1. 
      Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?

    • Options
    • A. Rs. 2000, Rs. 420
    • B. Rs. 2200, Rs. 520
    • C. Rs. 2100, Rs. 460
    • D. None of these
    • Discuss
    • 2. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

    • Options
    • A. (9, 11, 14)
    • B. (13, 15, 18)
    • C. (17, 19, 22)
    • D. (21, 23, 28)
    • Discuss
    • 3. Find the odd word/letters/numbers pair from the given alternatives.

    • Options
    • A. 41 - 72
    • B. 12 - 30
    • C. 51 - 42
    • D. 11 - 20
    • Discuss
    • 4. Find the odd man out. 253, 136, 352, 324, 631, 244

    • Options
    • A. 324
    • B. 136
    • C. 352
    • D. 631
    • Discuss
    • 5. Select the odd word from the given alternatives.

    • Options
    • A. Stream
    • B. Rivulet
    • C. River
    • D. Valley
    • Discuss
    • 6. Select the odd word from the given alternatives.

    • Options
    • A. Chair
    • B. Sofa
    • C. Couch
    • D. Television
    • Discuss
    • 7. Find the odd number in the following number series? 24, 4, 13, 41, 151, 640

    • Options
    • A. 4
    • B. 640
    • C. 41
    • D. 13
    • Discuss
    • 8. Find the odd term from the given series of numbers ? 125, 127, 130, 135, 142, 153, 165 ?

    • Options
    • A. 153
    • B. 165
    • C. 142
    • D. 127
    • Discuss
    • 9. What comes next in this sequence 196, 169, 144, 121, 100, 81, ?

    • Options
    • A. 77
    • B. 74
    • C. 67
    • D. 64
    • Discuss
    • 10. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. LJH
    • B. XUS
    • C. VTR
    • D. FDB
    • Discuss


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