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There are 35 students to be assigned a seat in a class on the first day of school. How many ways are there to create the seating chart?

User Wmatt
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Final answer:

The number of ways to create a seating chart for 35 students is 35 factorial (35!), representing all permutations of 35 unique items.

Step-by-step explanation:

To find out how many ways there are to create a seating chart for 35 students, we calculate the number of permutations for 35 different items, which in this case are the students. Since each seat is unique and can be filled by any one of those students, the first seat has 35 choices, the next one has 34 choices after the first seat is filled, and so on until only one student is left for the last seat.

The number of ways to create the seating chart is the product of these choices, which is calculated as follows: 35 × 34 × 33 × ... × 3 × 2 × 1. This corresponds to the factorial of 35, which is denoted as 35! (35 factorial).

Therefore, the number of ways to create the seating chart is 35!, which is a very large number and can be calculated using a calculator or a factorial function in mathematical software.

User Yannik Suhre
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