Number System
There are seven boys and four girls in a row. In how many ways can they be seated in the row so that all the girls do not sit together ?

11! - 7! x 4!
11! - 8! x 4!
10! - 7! x 3!
11! - 8! x 3!

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Number System
Letters of the word SERIES are arranged in such a way that all the vowels always come together. What is the total number of ways of making such an arrangement ?

112
72
36
98

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