An Adviser has 9 products he wants to tell a client about, but only has time to tell him about 4. How many different ways can he give the details on 4 different products to the customer?
To find the number of different ways the adviser can give the details on 4 different products to the customer, we can use the concept of combinations.
In this scenario, we need to choose 4 products out of the 9 available. The order in which the products are presented does not matter, as the customer will only receive the information about those 4 products.
The formula for combinations is given by "nCk," which represents the number of ways to choose 'k' items from a set of 'n' items without considering the order.
In this case, we have n = 9 (9 products) and k = 4 (choose 4 products), so the calculation becomes:
9C4 = 9! / (4! * (9-4)!)
= 9! / (4! * 5!)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126
Hence, the adviser can give the details on the 4 different products to the customer in 126 different ways.