Step 1 :The problem is asking for the number of ways to appoint 4 officers (president, CEO, COO, CFO) from 11 candidates. This is a permutation problem because the order of appointment matters (i.e., appointing person A as president and person B as CEO is different from appointing person B as president and person A as CEO). The formula for permutations is nPr = n! / (n - r)!, where n is the number of items to choose from, r is the number of items to choose, and ! denotes factorial.
Step 2 :Let's denote the number of candidates as n and the number of officers to be appointed as r. In this case, n = 11 and r = 4.
Step 3 :Substitute n = 11 and r = 4 into the permutation formula: nPr = n! / (n - r)!. This gives us the number of ways to appoint the officers.
Step 4 :Calculate the result to get the final answer.
Step 5 :Final Answer: \(\boxed{7920}\) different ways to appoint the officers.