Question

A manufacturer of wireless cell phone chargers produced 90 wireless chargers of which 8 are defective.

How many different ways are there to randomly select 6 wireless charger where no charges are defective

Answer 1

To select 6 non-defective wireless chargers, there are 5,169,920 different ways.

Step-by-step explanation:

To find how many different ways there are to randomly select 6 wireless chargers with no defects, we first need to determine the number of non-defective chargers. We subtract the 8 defective chargers from the total 90 chargers to get 90 - 8 = 82 non-defective chargers.

Next, we use the combination formula to calculate the number of ways to choose 6 non-defective chargers from the 82 available. The formula is: nCr = n! / ((n-r)! * r!) where n is the total number of items and r is the number of items chosen. Applying this formula, we have: 82C6 = 82! / ((82-6)! * 6!) = 5,169,920 ways.