Solve the problem.
-In a drama class, 5 students are to be selected from 19 students to perform a synchronized dance. In how many ways can 19 students be selected from the 5?
A) 2,476,099
B) 1,395,360
C) 120
D) 11,628

Question

Quizplus · Accepted Answer

The number of ways to select 5 students out of 19 for a synchronized dance is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, and k is the number of items to choose. Here, n=19 and k=5, so C(19, 5) = 19! / [5!(19-5)!] = 11,628.

Solve the Problem. -In a Drama Class, 5 Students Are to Be Selected