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  • Question
  • There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?


  • Options
  • A. 49450
  • B. 50540
  • C. 46587
  • D. 52487

  • Correct Answer
  • 50540 

    Explanation

    Given G + B= 41 and B = G-1
    Hence, G = 21 and B = 20
    Now we have 2 options,
    1G and 3M
    (or)
    3G and 1M
    (2G and 2M or 0G and 4M or 4G and oM are not allowed),

     

    Total : C 1 21 × C 3 20 + C 3 21 × C 1 20 = 50540 ways.

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

    More questions

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      0.0169 / 0.013=?

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    • A. .13
    • B. .013
    • C. 1.3
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    • 2. 
      Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :

    • Options
    • A. x 2 ?2
    • B. x 4
    • C. x ?2
    • D. x ?2
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    • 3. 
      If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?

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    • A. 3 / 7
    • B. 34
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    • 4. 
      What is 25% of 25% is equal to?

    • Options
    • A. 6.25
    • B. .625
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    • 5. 
      The number .05 is hoe many percent of 20?

    • Options
    • A. 25
    • B. .025
    • C. .25
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    • 6. Find the lowest common multiple of 24, 36 and 40.

    • Options
    • A. 120
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    • C. 360
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    • 8. 
      .025 in terms of term of rate per cent is?

    • Options
    • A. .25%
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    • 9. 
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    • Options
    • A. 2.5%
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    • 10. 
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    • Options
    • A. ? 1600
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    • C. ? 1800
    • D. ? 2800
    • Discuss


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