Question

В магазине спортивных товаров продается 8 видов теннисных ракеток и 5 различных наборов теннисных мячей. Сколькими способами можно купить в этом магазине ракетку и набор теннисных мячей?

Answer 1

Ракеток - 8 видов
Мячей   - 5 наборов

8*5=40 - количество способов сделать покупку
                 (1 ракетка и 1 набор мячей)

Answer 2

Calculating the Number of Ways to Buy a Tennis Racket and a Set of Tennis Balls

To calculate the number of ways to buy a tennis racket and a set of tennis balls, we can use the concept of permutations.

Number of Tennis Rackets Available: There are 8 different types of tennis rackets available.

Number of Sets of Tennis Balls Available: There are 5 different sets of tennis balls available.

Calculating the Number of Combinations

To find the number of ways to buy a tennis racket and a set of tennis balls, we can use the concept of combinations. The formula for combinations is:

nCr = n! / (r! * (n-r)!)

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

Applying the Formula

Using the formula, we can calculate the number of ways to buy a tennis racket and a set of tennis balls:

Number of Ways = 8C1 * 5C1

Calculating 8C1: 8C1 = 8! / (1! * (8-1)!) = 8

Calculating 5C1: 5C1 = 5! / (1! * (5-1)!) = 5

Number of Ways = 8 * 5 = 40

Therefore, there are 40 ways to buy a tennis racket and a set of tennis balls in this store.