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ISEE Upper Level
Quantitative Reasoning

Seating Arrangements in a Play Rehearsal

Very Hard Word Problems Advanced Algebra

During a school play rehearsal, the director decides to organize the seating arrangement for two groups of students: boys and girls. The boys need to sit together in a block, and the girls in another block. In total, there are 10 boys and 12 girls. Each group of students needs to have their own distinct arrangement.

How many different ways can the director arrange the seating such that the boys are seated together and the girls are seated together?

Hint

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