Final answer:
The total number of ways to select a chairperson, vice-chairperson, and recorder from a group of 11 persons is 990.
Step-by-step explanation:
To select a chairperson, vice-chairperson, and recorder from a group of 11 persons, we use the concept of permutation since order matters in this selection. We can select the chairperson in 11 ways, the vice-chairperson in 10 ways (after the chairperson has been selected), and the recorder in 9 ways (after both the chairperson and vice-chairperson have been selected). Therefore, the total number of ways to select these three positions is 11 x 10 x 9 = 990.