3 years ago

A class consists of 12 students (six boys and six girls) and one teacher. In how many ways can the students sit in a circle?

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:

39,916,800ways

Step-by-step explanation:

This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.

(12-1)! = 11!

= 11×10×9×8×7×6×5×4×3×2×1

= 39,916,800ways

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