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The Hewitt Elementary School PTA plans to use students in their next program. They want 5 children from Mrs. Perry's PE class to give a PE activity demonstration; 2 children from Mrs. Brown's class, a boy and a girl, to hand out programs; and 3 children from Ms. Gilchrest's class: 1 to give the welcome, 1 to lead in the pledge to the flag, and 1 to tell about the science fair. Mrs. Perry has 11 children in her PE class, Mrs. Brown has 8 boys and 13 girls in her class, and Ms. Gilchrest has 16 children in her class. In how many ways can the 10 children be selected?
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