Question

A management consulting team needs a team of four to analyze the operations of a new client. The team should comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists. How many different teams could be formed from the available individuals?

Answer 1

Answer:

720

Explanation:

Given:

The management consulting team should comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists

To find:

Number of different teams that could be formed from the available individuals

Solution:

Use combination to find number of ways to select y objects from x objects when the order in the selection process doesn't matter.

Number of ways to select an accountant, a production specialist, a finance specialist, and a management specialist from six accountants, five production specialists, three finance specialists, and eight management specialists =$6_C_1 5_C_1 3_C_1 8_C_1\\=6(5)(3)(8)\\=720$