Provide an appropriate response.
-Suppose that a class of 30 students is assigned to write an essay.
1) Suppose 4 essays are randomly chosen to appear on the class bulletin board. How many different groups of 4 are possible?
2) Suppose 4 essays are randomly chosen for awards of $10, $7, $5, and $3. How many different groups of 4 are possible?
Explain the significant differences between problems 1 and 2.
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