Final answer:
To find the number of different combinations of seven people that could be chosen from a class of 35 students, use the formula for combinations.
Step-by-step explanation:
To find the number of different combinations of seven people that could be chosen from a class of 35 students, we can use the formula for combinations:
C(n, r) = n! / (r!(n - r)!)
where n is the total number of students and r is the number of students being chosen. In this case, n = 35 and r = 7:
C(35, 7) = 35! / (7!(35 - 7)!)
Simplifying this expression, we get:
C(35, 7) = (35 * 34 * 33 * 32 * 31 * 30 * 29) / (7 * 6 * 5 * 4 * 3 * 2 * 1)
C(35, 7) = 107,375
Therefore, there are 107,375 different combinations of seven people that could be chosen from the class of 35 students.