Solve the problem.
-How many different vertical arrangements are there of 9 flags if 4 are white, 3 are blue, and 2 are red?
A)1260
B)24
C)126
D)26

Question

Quizplus · Accepted Answer

The total number of arrangements is calculated using the formula for permutations of a multiset: $ \frac{n!}{n_1!n_2!n_3!...} $, where $n$ is the total number of items, and $n_1, n_2, n_3, ...$, are the counts of identical items. Here, $n = 9$ (total flags), $n_1 = 4$ (white flags), $n_2 = 3$ (blue flags), and $n_3 = 2$ (red flags). Thus, the total number of arrangements is $ \frac{9!}{4!3!2!} = 1260 $.

Solve the Problem. -How Many Different Vertical Arrangements Are There of 9 Flags