Final answer:
There are 19,448 ways to select a group of six members from a club of 19 people.
Step-by-step explanation:
To find the number of ways to select a group of six members from a club of 19 people, we can use the concept of combinations. A combination is a way to select a subset of objects without regard to the order. In this case, we want to find the number of ways to select six members from a group of 19.
The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of objects and r is the number of objects to be selected.
Plugging in the values, we have C(19, 6) = 19! / (6!(19-6)!).
Simplifying further, we get C(19, 6) = (19 * 18 * 17 * 16 * 15 * 14) / (6 * 5 * 4 * 3 * 2 * 1) = 19,448.
Therefore, there are 19,448 ways to select a group of six members from a club of 19 people.