Final answer:
The BMCC College math club can select a group of 5 members in 142,506 different ways.
Step-by-step explanation:
To find the number of different ways the BMCC College math club can select a group of 5 members, we need to use the concept of combinations. A combination is a selection of objects without regard to the order. The formula for calculating combinations is:
= ! / (!(−)!)
Where is the total number of objects and is the number of objects selected.
In this case, the math club has 30 members and wants to select a group of 5 members. Plugging the values into the formula:
(30, 5) = 30! / (5!(30−5)!) = 142,506 ways