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There are 4 different French books and 4 different Spanish books. How many ways are there to arrange them on a shelf if

ABooks of the same language must be grouped together, French on the left, Spanish on the right?

BFrench and Spanish books must alternate in the grouping, beginning with a French book? ...?

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ABooks of the same language must be grouped together, French on the left, Spanish on the right
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a.) Number of ways the French books will be arranged in the left = 4! = 4 x 3 x 2 x 1 = 24
b.) Number of ways the Spanish books will be arranged = 4! = 24
Number of ways of arranging the books such that the same language must be grouped together French on the left and Spanish on the right are 24 x 24 = 576 ways.

b.) Number of ways af arranging the books such that the books alternate beginning with a French book = 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1 = 24 x 24 = 576 ways.

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