Question

Девочки восьмого класса пошли в театр. Найдите кол-во возможных рассаживаний в партере театра, если они купили себе билеты с 1 по 12 места восьмого ряда

Answer 1

Р(12)=12!=1*2*3*4*5*6*7*8*9*10*11*12=479001600

Answer 2

Calculation of Possible Seating Arrangements in the Theater Parterre

To calculate the number of possible seating arrangements in the theater parterre for the group of eighth-grade girls who bought tickets from seats 1 to 12 in the eighth row, we can use the concept of permutations.

In this case, we have 12 seats available in the eighth row, and we need to arrange the girls in these seats. Since the order of the girls matters (each girl will have a specific seat), we need to use the permutation formula.

The formula for calculating permutations is:

P(n, r) = n! / (n - r)!

Where: - n is the total number of items (seats in this case) - r is the number of items to be arranged (number of girls in this case) - ! denotes the factorial operation

Using this formula, we can calculate the number of possible seating arrangements for the girls in the theater parterre.

Calculation:

Using the permutation formula, we have: P(12, 12) = 12! / (12 - 12)!

Simplifying the expression: P(12, 12) = 12! / 0!

Since 0! is equal to 1, we can further simplify the expression: P(12, 12) = 12! / 1

Calculating the factorial of 12: 12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600

Therefore, the number of possible seating arrangements in the theater parterre for the group of eighth-grade girls is 479,001,600.

Answer:

The number of possible seating arrangements in the theater parterre for the group of eighth-grade girls who bought tickets from seats 1 to 12 in the eighth row is 479,001,600.