If a coin is tossed five times, in how many ways may 3 heads and 2 tails show up? In a statistical study, an individual is classified according to sex assigned at birth (male or female), income bracket (A, B, C, D, E), and highest educational attainment (elementary, high school, college, post-graduate). Find the number of ways in which an individual can be classified. A boarding house has 3 bedrooms and 10 students. One bedroom has 2 beds, the second has 3 beds, and the third has 5 beds. In how many different ways can the students be assigned rooms? There are four routes from town A to town B, and three routes from town B to town C. Find the number of ways to travel from A to C via B. If a person wants to travel roundtrip from A to C via B but the person does not want to use the same route twice, how many ways are possible? Morse code uses dots and dashes (assume these are arranged in a row). How many symbols can be formed using 3 dots and 4 dashes