Question

в теннисном турнире принимают участие 10 теннисистов.сколько существует вариантов разбиения их на пары для игры в первом круге?

Answer 1

Ответ:1000
Очень просто же

Answer 2

1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 2-3 2-4 2-5 2-6 2-7 2-8 2-9 2-10 3-4 3-5 3-6 3-7 3-8 3-9 3-10 4-5 4-6 4-7 4-8 4-9 4-10 5-6 5-7 5-8 5-9 5-10 6-7 6-8 6-9 6-10 7-8 7-9 7-10 8-9 8-10 9-10.      Всего 45 вариантов

Answer 3

Calculating the Number of Pair Combinations for the Tennis Tournament

To calculate the number of pair combinations for the tennis tournament, we can use the formula for combinations, which is given by:

C(n, r) = n! / (r! * (n-r)!)

Where: - n is the total number of items - r is the number of items to choose

In this case, we have 10 tennis players and we want to find the number of ways to pair them for the first round of the tournament.

Calculation

Using the formula for combinations, the number of pair combinations for the first round of the tennis tournament can be calculated as follows:

C(10, 2) = 10! / (2! * (10-2)!)

C(10, 2) = 10! / (2! * 8!)

C(10, 2) = (10 * 9) / (2 * 1)

C(10, 2) = 45

Therefore, there are 45 different ways to pair the 10 tennis players for the first round of the tournament.

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