Four friends, Jim, Joe, Joss, and Jill, are celebrating Christmas together. Eachbrought 3 different presents: one for each of their friends.(a) In how many ways can they arrange the presents in the form of a circle around theChristmas tree, if the presents for every person are placed one next to another?(b) After the four friends have unwrapped some presents, the following presents are leftunwrapped: one from Jim, three from Joe, and three from Joss. How many ways canthey arrange these presents in the form of a circle if no two presents from Joe can beplaced one next to another?
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