MathematicsIn how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

  1. A

    2880

  2. B

    2888

  3. C

    28809

  4. D

    None

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    Solution:

     After fixing up one boy on the table, the remaining can be arranged in 4 ! ways but boys and girls are to alternate. There will be 5 places, one place each between two boys these five places can be filled by 5 girls in 5 ! ways.

    Hence, by the principle of multiplication, the required number of ways =4!×5!=2880.

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