Question

You have a bag with 12 different letters. you decide to create one sequence of three characters by shaking the bag and extracting three letters, one at a time. the final sequence respects the order of extraction. how many different possibilities are there for that three-character sequence? ____

a) 12
b) 24
c) 36
d) 220

Answer 1

The number of different possibilities for a three-character sequence taken from a bag with 12 different letters is 1,320.

Step-by-step explanation:

The number of different possibilities for a three-character sequence taken from a bag with 12 different letters can be calculated using the concept of permutations. We have 12 options for the first letter, 11 options for the second letter, and 10 options for the third letter. Therefore, the total number of possibilities is 12 x 11 x 10 = 1,320.