Question

A company received a shipment of 25 laser printers, including 6

that are defective. 2 of these printers are selected to be used in
the copy room. How many selections can be made?

Answer 1

To select 2 printers from a shipment of 25, we can use the combination formula. Plugging in the values, we get 300 possible ways.

Step-by-step explanation:

To solve this problem, we can use the concept of combinations. The total number of ways to select 2 printers from a shipment of 25 is given by the combination formula: C(25, 2). The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being selected.

Plugging in the values, we have C(25, 2) = 25! / (2!(25-2)!) = 25! / (2!23!). We can simplify this expression further by canceling out the common factors. 25! = 25 x 24 x 23!, so the expression becomes (25 x 24) / 2. Evaluating this expression gives us the final answer of 300 possible ways to select 2 printers from the shipment of 25.