Question

Management selection. A corporation plans to fill 2 different positions for​ vice-president, Upper V 1 and Upper V 2​, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5. a. How many ways can these 2 positions be filled if the Upper V 1 position is to be filled from plant A and the Upper V 2 position from plant​ B?

Answer 1

45 different ways to fill the positions.

Explanation:

Consider the provided information.

Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and Upper V₂, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5.

We need to find the probability that 2 positions be filled if the Upper V₁ position is to be filled from plant A and the Upper V₂, position from plant B?

To fill the post of V₁ from plant A, which has 9 officers, we have 9 ways.

To fill the post of V₂ from plant B, which has 5 officers, we have 5 ways.

Therefore, the total number of ways are:
`9* 5=45`

Hence, 45 different ways to fill the positions.