Example 3. How many distinguishable signals can be formed displaying eleven flags if 3 of the flags are red, 5 are green, 2 are yellow and 1 is white?
Solution: P = 11! / (3! * 5! * 2! * 1!) = 27,720
Thus, there are 27,720 signals that can be formed.
ACTIVITY: Find the quotient of the following: Write your answer on the blank before each number. The first number is done for you.
840 / 3 = 280
101 / 121
71 / 81
+I
Find the number of distinguishable permutations of the following: Write your answer on the blank before each number. The first number is done for you.
12! / (1! * 2! * 6! * 1!) = 3,628,800
ROOT
DIVIDED
6!
SCISSORS
C Solve the following problems: Write your answer on the blank before each number. The first number is done for you.
680 / 1 = 680
1. How many distinguishable signals can be formed by displaying 9 flags if 3 of the flags are blue and 3 are orange?