Question

A student ID card consists of 5 digits selected from 10 possible digits (0 to 9), without repetition. How many possible student IDs are there?

A) 10,000
B) 25,200
C) 30,240
D) 90,000

Answer 1

There are 30,240 possible student IDs.

Step-by-step explanation:

To find the number of possible student IDs, we need to use the concept of permutations. Since there are 10 possible digits (0 to 9) and we are selecting 5 digits without repetition, the number of possible permutations is given by:

10P5 = 10! / (10-5)! = 10 * 9 * 8 * 7 * 6 = 30,240

Therefore, the correct answer is C) 30,240.