A golf-course architect has six linden trees, five white birch trees, and three bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced? The trees can be planted in different ways.

A new dormitory is to be constructed.  There will be three types of rooms: single rooms which accommodate just 1 student per room, double rooms which accommodate 2 students per room, and triple rooms which accommodate 3 students per room.  The dorm will contain 151 rooms and accommodate 262 students. Further, there will be 20 more double rooms than single rooms.  Find the number of each type of room. There will be  Blank 1. Calculate the answer by read surrounding text. single rooms. There will be  Blank 2. Calculate the answer by read surrounding text. double rooms. There will be  Blank 3. Calculate the answer by read surrounding text. triple rooms.

A retail store is placing 5 mannequins on display side by side. Two of the male mannequins are dressed identically and two of the female mannequins are dressed identically. How many possibilities are there for the arrangement?

A license plate is to consist of two letters followed by four digits. Find the number of license plates possible if the first letter cannot be Z, and repetition is permitted.

If there were to be 22 boys and 8 girls at a party and the host wanted each to be given exactly the same number of candies that could be bought in packages containing 42 candies, what is the fewest number of packages that could be bought? The fewest number of packages that could be bought is

if we place 1 penny on the first square of a chessboard, 3 pennies on the second, 9 pennies on the third and continue the pattern, how many pennies will be on the 120th square?