Choose the one alternative that best completes the statement or answers the question.
-How many different vertical arrangements are there of 8 flags if 3 are white, 3 are blue, and 2 are red?
A) 560
B) 18
C) 56
D) 21

Question

Quizplus · Accepted Answer

The total number of arrangements is calculated using the formula for permutations of a multiset: $n! / (n_1! \cdot n_2! \cdot n_3!)$, where $n$ is the total number of items, and $n_1$, $n_2$, and $n_3$ are the counts of each type of item. Here, $n = 8$, $n_1 = n_2 = 3$ (for white and blue flags), and $n_3 = 2$ (for red flags). Thus, the total number of arrangements is $8! / (3! \cdot 3! \cdot 2!) = 560$.

Choose the One Alternative That Best Completes the Statement or Answers