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?

Question

Mathematics

Lawson Chapman

17 March, 18:14

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?

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Answers (1)

Know the Answer?

Madelyn Glass · Answer 1

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