Question

Имеется ряд из 9 стульев. Сколькими способами можно рассадить на них 6 человек?

Answer 1

Ответ:

можно посадить их 2 человека вместе и пропуск 1 стул

Answer 2

Calculating the Number of Ways to Seat 6 People on 9 Chairs

To calculate the number of ways 6 people can be seated on 9 chairs, we can use the formula for permutations. The formula for permutations of n objects taken r at a time is given by:

nPr = n! / (n - r)!

Where: - n is the total number of objects (chairs in this case) - r is the number of objects taken at a time (people in this case) - ! denotes factorial, which is the product of all positive integers up to that number

Applying the Formula

Using the given values, we can calculate the number of ways to seat 6 people on 9 chairs:

9P6 = 9! / (9 - 6)!

9P6 = 9! / 3!

Now, let's calculate the value of 9! (9 factorial) and 3! (3 factorial) to find the number of ways.

Calculation

9! (9 factorial) = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

3! (3 factorial) = 3 x 2 x 1 = 6

Now, we can substitute these values into the formula:

9P6 = 362,880 / 6

9P6 = 60,480

So, there are 60,480 different ways to seat 6 people on 9 chairs.