Question

В магазине имеется по 50 пирожных розового и зеленого цветов. Продавцу нужно расфасовать их в коробки по 4 штуки. Сколько существует различных вариантов фасовки (очередность расположения пирожных важна!)? А) 16 Б) 25 В) 12 Г) 9

Answer 1

Ответ В и два во статке

Answer 2

Calculating the Number of Different Packing Options for the Pastries

To calculate the number of different packing options for the pastries, we can use the concept of permutations. Since the order of the pastries in the box matters, we need to calculate the number of permutations of 4 pastries chosen from 50 of each color.

The formula for permutations is given by: nPr = n! / (n - r)!

Where: - n = total number of items - r = number of items chosen at a time - ! = factorial

Calculation

For the pink pastries: n = 50 (total number of pink pastries) r = 4 (number of pastries chosen at a time) nPr = 50! / (50 - 4)!

For the green pastries: n = 50 (total number of green pastries) r = 4 (number of pastries chosen at a time) nPr = 50! / (50 - 4)!

Total Number of Different Packing Options

To find the total number of different packing options, we need to calculate the product of the number of different packing options for pink pastries and green pastries.

Let's calculate the total number of different packing options.