<h3>
There are 4080 ways in which these 3 offices be filled.</h3>
Step-by-step explanation:
Here, the total number of candidates present in the committee = 17
The posts for which people are to be elected are:
President, Vice -President and Treasurer = 3 posts
Now, selecting a person for the post of president has total 17 ways.
⇒ The number of ways a president can be chosen = 17 ways
As, one person cannot hold 2 positions.
So, now the total candidates = 17 - 1 = 16 people
⇒Selecting a person for the post of Vice -President has total 16 ways.
⇒ The number of ways a vice president can be chosen = 16 ways
Similarly, the number of ways a Treasurer can be chosen = 15 ways
Combining the three ways, we get:
the number of ways President, Vice -President and Treasurer can be chosen = 17 x 16 x 15 = 4080 ways
Hence, there are 4080 ways in which these 3 offices be filled.
