A company is selecting 6 people to be on a committee. There are 24 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee? (One person will be president, another vice president, ...)
Among 13 electrical components exactly 4 are known not to function properly. If 6 components are randomly selected, find the following probabilities:
(i) The probability that all selected components function properly.
(ii) The probability that exactly 3 are defective.
(iii) The probability that at least 1 component is defective.