You are standing on the corner of 4th Street and 4th Avenue in a city with a rectangular street system similar to New York’s (but without the exceptions). You want to meet your friend at 10th Street and 10th Avenue by walking only east and north (that is, walking the minimum possible distance). However, the corner of 7th Street and 7th Avenue is blocked due to construction and you cannot get through. How many ways are there to walk to meet your friend?

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset