Math  /  Discrete

QuestionAn English teacher needs to pick 15 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 6 novels, 16 plays, and 20 nonfiction books. If he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer Tables Keypad Keyboard Shortcuts \square ×10\times 10

Studdy Solution
Calculate the total number of reading schedules:
6×4368×15504×1,307,674,368,000 6 \times 4368 \times 15504 \times 1,307,674,368,000
=6.634×1021 = 6.634 \times 10^{21}
The total number of different reading schedules possible is:
6.63×1021 \boxed{6.63 \times 10^{21}}

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