4 accounting majors, 2 economics majors and 3 marketing majors have an interview for5 different positions with a large company. Find the number of dfferent ways that 5 of these could be hired. 4 accounting majors must be hired first then the final position may be chosen from the remaining majors.

If 4 accounting majors are supposed to be chosen, then the remaining person has to come from the other 5

so 5 ways.

Doesn't seem like much of a question.
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144

To solve this problem, we can use the concept of combinations and the multiplication principle.

First, we need to determine the number of ways to hire the 4 accounting majors for the first 4 positions. Since the order does not matter, we can use combinations. There are 4 accounting majors, so we need to choose 4 of them. Therefore, the number of ways to hire the 4 accounting majors is denoted by C(4,4) or 4C4, which is equal to 1.

Next, we need to determine the number of ways to hire the final position from the remaining majors. We have the remaining majors: 2 economics and 3 marketing. Therefore, the number of ways to hire the final position is denoted by C(2,1) or 2C1, which is equal to 2.

Finally, we can use the multiplication principle to find the total number of ways to hire all 5 positions by multiplying the number of ways to hire the accounting majors (1) by the number of ways to hire the final position (2).

Therefore, the total number of different ways that 5 of these majors could be hired is:

1 x 2 = 2

So, there are 2 different ways to hire these majors for the 5 positions.