To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. finally, you turn the dial back to the right and stop at a third number. if you used the correct sequence of numbers, the lock opens. if the dial of the lock contains 12 numbers, 0 through 11, determine the number of different combinations possible for the lock. note: the same number can be reused consecutively.

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels.ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0