Question: Mrs. Gutierrez has 25 students and she sends 4 or 5 students at random to the board each day to solve a homework problem. You

Mrs. Gutierrez has 25 students and she sends 4 or 5 students at random to the board each day to solve a homework problem. You can calculate that there are 25C4, or 12,650, ways that 4 students could be selected, and 25C5, or 53,130, ways that 5 students could be selected. Suppose the class has grown to 26 students. Without using a calculator, determine how many ways 5 students can be selected now. Explain your solution method.

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