Question

which notation expresses the number of permutations of 8 items taken 6 at a time?
choose the correct answer below.
a. 6c8
b. 6p8
c. 8p6
d. 8c6

Explanation:

• The formula for permutations is \(_{n}P_{r}=\frac{n!}{(n - r)!}\), where \(n\) is the total number of items and \(r\) is the number of items taken at a time.
• Here, \(n = 8\) (total items) and \(r=6\) (items taken at a time).
• The notation for permutations uses \(P\), with the first number being \(n\) and the second being \(r\).

Answer:

C. \(_{8}P_{6}\)