John, Jim, Jay, and Jack have formed a band consisting of 4 instruments

# John, Jim, Jay, and Jack have formed a band consisting of 4 instruments

J
Asked by 3 years ago
240 points

John, Jim, Jay, and Jack have formed a band consisting of 4 instruments. If each of the boys can play all 4 instruments, how many different arrangements are possible? What if John and Jim can play all 4 instruments, but Jay and Jack can each play only piano and drums?

John, Jim
jeffp

Answered by 3 years ago
8.7k points

If each of the boys can play all 4 instruments, how many different arrangements are possible?

$$4!=24$$

What if John and Jim can play all 4 instruments, but Jay and Jack can each play only piano and drums?

Since Jay and Jack can only play 2 instruments then they must be assigned first, which leaves John and Jim only 2 to choose from and hence,

$$2! 2! = 4$$

T
Answered by 2 years ago
0 points

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