Question

calculate the number of ways you can make each arrangement. sample problem 12 flowers planted around the base of a tree (n - 1)! = (12 - 1)! = 11! = 39,916,800 i can arrange the flowers around the base of the tree 6 teachers seated around a circular table at a conference > enter the answer in the space provided. use numbers instead of words. different ways

Explanation:

Step1: Recall circular permutation formula

For \( n \) distinct objects arranged in a circle, the number of permutations is \( (n - 1)! \). Here, \( n = 6 \) (6 teachers).

Step2: Substitute \( n = 6 \) into the formula

We calculate \( (6 - 1)! = 5! \).

Step3: Compute \( 5! \)

\( 5! = 5\times4\times3\times2\times1 = 120 \).

Answer:

120