Final answer:
The number of ways to choose a committee of 17 from 250 employees is found using the combinations formula, C(250, 17), which can be calculated using technology like a calculator or software.
Step-by-step explanation:
The number of ways 17 employees can be chosen from 250 to form a committee is calculated using the formula for combinations, which is defined as C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and ! denotes factorial. In this case, we want to find C(250, 17).
Using technology, such as a calculator with combination functionality or a software program like R or Python, we can compute this value. The output will give the total number of different committees that could be formed from the 250 employees without consideration of order.