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Chapter 15: Q6P (page 742)

A so-called 7-way lamp has three 60-watt bulbs which may be turned on one or two or all three at a time, and a large bulb which may be turned to 100 watts, 200 watts or300 watts. How many different light intensities can the lamp be set to give if the completely off position is not included? (The answer is not 7.)

Short Answer

Expert verified

Answer

The total different intensities that can be set is 15.

Step by step solution

01

Given Information

A7-way lamp has three 60-watt bulbs which may be turned on one or two or all three at a time, and a large bulb which may be turned to 100 watts, 200 watts or 300 watts.

02

Definition of Independent Event

When the order of arrangement is definite, the permutation is applied and when the order is not definite,combination is applied.

03

Finding the different light intensities can the lamp be set to give if the completely off position is not included

When there are ndevices with kpositions, there areknpossibilities.

There are 4 possible intensities for the first three bulbs namely 0W,60W,120Wand180W.

The large three-way bulb has 3 positions and an off position, so there are 4 positions in total.

So there are total 4×4=16possibilities.

When the completely off position is removed, the total possible light intensities is 15.

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