Question

How many different signals can be formed using 3 red, 2 green, and 1 yellow flag?

Q: Answer-How many different signals can be formed using 3 red, 2 green, and 1 yellow flag?

We are given 3 red flags 2 green flags 1 yellow flag We are to find the number of different signals that can be formed using all these flags where the order matters, but identical flags are indistinguishable. Total number of flags 3 2 1 6 If all flags were distinct, the number of permutations 6720 But since some flags are identical, we divide by factorials of repeated flags 3 red flags divide by 3 2 green flags divide by 2 1 yellow flag no need 1 1 Total number of distinguishable signals