Solve the problem.
-List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4, 3)?
A)123, 124, 134, 234 C(4, 3)= 4
B)123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431 C(4, 3)= 24
C)123, 124, 134, 234, 321, 432 C(4, 3)= 6
D)111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334,
341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444
C(4, 3)= 64

Question

Quizplus · Accepted Answer

The combinations of 4 objects taken 3 at a time are 123, 124, 134, and 234, which totals 4 combinations, matching the formula for combinations C(n, k) = n! / [k!(n-k)!], where n=4 and k=3, giving C(4, 3) = 4.

Solve the Problem. -List All the Combinations of 4 Objects 1, 2, 3