1 An engineering company has offices in New York Seattle and

1. An engineering company has offices in New York, Seattle and Portland. The company hires 12 new engineers and sends 5 to New York, 3 to Seattle, and 4 to Portland. In how many ways can this be done?

2. A company has 9 engineers. The company has a major project that has been divided into 3 subprojects. Three engineers are assigned to each subproject. In how many ways can this be done?

3. True of False? An infinitely large sample space can only contain events that are infinite.

4. A row has 12 chairs. In how many ways can 7 people be seated in these chairs?

Solution

1.

Using the formula for permutations of like objects,

P(n1, n2, n3) = (n1 + n2 + n3)! / [n1! n2! n3!]

Thus, here, there are

number of ways = 12! / [5! 3! 4!]

= 27720 ways [ANSWER]

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