There are 6 different French books and 6 different Spanish books. What is the probability that French books are grouped together?
Solution: We are given that there are 6 different French books and 6 different Spanish books.
It is required to find the probability that French books are grouped together.
The number of total possible arrangements of these books are:

The number of ways 6 different French books are grouped together is:

Therefore, the probability that French books are grouped together is:

There are 6 different French books and 6 different Spanish books. What is the probability that...
There are 5 different French books and 5 different Spanish books. What is the probability that the books of the same language are grouped together?
There are 5 different French books and 5 different Spanish books. How many ways are there to arrange them on a shelf if: (a) Books of the same language are grouped together, French on the left, Spanish on right? (b) French & Spanish books must alternate in the grouping, beginning with a French book?
(1 point) An elementary school is oftering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 98 students in the school. There are 35 in the Spanish class, 27 in the French class, and 25 in the German class. There are 13 students that in both Spanish and French, 6 are in both Spanish and German, and 7 are in both French and German. In addition, there are...
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1. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 6 are in both Spanish and German, and 9 are in both French and German. In addition, there are 4...
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