The arrangement if Jay and Jack can each play only piano and drum is 4.
Every one of the boys can play all of the instruments, then we would have this arrangement
4 C1 * 3C1* 2C1 * 1C1
= 4 x3 x 2 x 1
= 24
Now if only the two boys can only play 2 instruments we would have
(2 c 1 * 1C1) x (2 c 1 * 1C1)
= 4
Hence we conclude that the arrangement would be 4
Complete question
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?
Read more on combination here: https://brainly.com/question/11732255
#SPJ4
