## Question

###### Number different secret messag signal: Rectangular Aags' of various solid colors (but not necessarily of the game size) are arranged on vertical pole: Flags of the game size and color are indietinguishable from one another: Each distinguishable arrangement ofall-the Auge" on the pole Is different signal: In this question we are interested-in - counting the_number of signals poesiblein various situations. Suppose there flags: red, black and green_ In parts &) to d) below, count how

number different secret messag signal: Rectangular Aags' of various solid colors (but not necessarily of the game size) are arranged on vertical pole: Flags of the game size and color are indietinguishable from one another: Each distinguishable arrangement ofall-the Auge" on the pole Is different signal: In this question we are interested-in - counting the_number of signals poesiblein various situations. Suppose there flags: red, black and green_ In parts &) to d) below, count how many signals are poBsible: Express your answers in terms of factorials Remember, the only restrictions are the stated ones: Flags = of the game color have noticeably different gize (say 8mall, medium and large). Ly fags heve the same ;ize- 842 3 37 All flags heve the game gize and thoge of the same color grouped together _ d) Flags of the game color have noticeably different gize, and those of the same color grouped together: they are randomly arranged on the pole; then what is the probability If flegs all have the same size and Garvey" fleg " (from top to bottom: red_ black and green)? that the colors form the Marcus