Multiple Choice Questions on 12C4 12C5 ........ for Mathematics - All Exams Preparation

Permutation & Combination

Quantitative Aptitude ( CCS) Mathematics - All Exams

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Study Notes

    12C4 + 12C5 = ?

    13C5

    Correct Answer

    12C5

    Incorrect Answer

    12C9

    Incorrect Answer

    24C9

    Incorrect Answer
    Explanation:

      12!        12!          12!          12!          8
    ------- + --------- = -------- + ------------ × ---
    4!×8!     5!×7!      4!×8!       5×4!×7!      8

          12!         12!×8         12!
    = -------- + ------------- = --------- × (1 + 8/5)
         4!×8!     5×4!×8!       4!×8!

    = (12! × 13)/5!×8! = 13!/5!×8! = 13C5 or 13C8


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