There are 10 students in a social studies class. three students will be selected to present their term projects today. in how many different orders can three students be selected? a. 120 b.720 c. 60 d. 1440 what is the theoretical probability of rolling a sum of 8 on one roll of two standard number cubes? a. 5/36 b.1/6 c. 1/9 d. 1/12

1. Create a ratio of two products. In the numerator, start with the number of total numbers (in your case 10) and count down so that total number of items being multiplied is equal to the number of items being selected (in your case three numbers should be multiplied). In the denominator, start with the number of items being selected and count down to 1 (in your case start from number 3).

Therefore, three students from 10 can be selected in different orders.
2. The probability of rolling a number of 8 with two dice is the number of times that number 8 may occur divided by 36 (6*6 - number of all possibilities  for two dice). You can obtain a sum of 8 in these cases: 6+2, 5+3, 4+4, 3+5, 2+6, then the probability is .