Solve the problem.
-Mrs. Sartori, a teacher, decides to give identical prizes to 4 of the 10 students in her class. In how many ways can she do it?
A)210
B)6
C)5040
D)151,200

Question

Quizplus · Accepted Answer

Mrs. Sartori is choosing 4 students out of 10 to give prizes to, and the order in which she chooses them does not matter. This is a combination problem, calculated as 10 choose 4, which is $ \binom{10}{4} = \frac{10!}{4!(10-4)!} = \frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1} = 210 $.

Solve the Problem. -Mrs. Sartori, a Teacher, Decides to Give Identical Prizes to Identical