In how many different ways can 15 tickets to a football game be distributed among a class of 30 students if each students gets at most one ticket?
Use 30C15^{30}C_{15}30C15, unless the tickets have designated seating in which case you can use 30P15^{30}P_{15}30P15
The value of 30C15=155,117,520^{30}C_{15}=155,117,52030C15=155,117,520
30P15=2.0284320439×1020^{30}P_{15}=2.0284320439\times 10^{20}30P15=2.0284320439×1020
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