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?
Lv 7
? asked in Science & MathematicsMathematics · 2 years ago

In how many ways can the letters of the word BABA be arranged in a circle?

1 Answer

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  • ?
    Lv 6
    2 years ago

    Trying to do this by formula would be very confusing, and isn't necessary. Circular arrangements are similar to permutations, but rotations aren't counted as different arrangements.

    So just note that there are only two fundamentally different arrangements:

    the same letters are together as in

    AABB or ABBA or BBAA = 1st arrangement.

    or

    the letters alternate, as in

    ABAB OR BABA = 2nd arrangement

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