3. lynne is tiling her long and narrow rectangular front hall. the hall is 2 tiles wide and 8 tiles long. she is going to use exactly 6 black tiles and exactly 10 white tiles. what is the number of distinct ways of tiling the hall so that no two black tiles are adjacent? 4. how many ways are there of choosing 8 calculators from 12 (distinguishable) calculators?

Question and answers are in the attached picture. you so much in advance.

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

The function f(x) is shown in this graph the function g(x)=6x