Paula is going to choose the size, color, phrase,

Ответ:

peytonamandac9114

15.03.2022

Mathematics

The different card designs possible are:

224

Step-by-step explanation:

It is given that:

There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)

As she has to choose one from each given item this means she will use a combination to choose the item.

We know that the combination for r choices out of total n choices is given as:

$n_C_r=\dfrac{n!}{r!\times (n-r)!}$

Hence, the total combinations made are given as:

$2_C_1\times 4_C_1\times 7_C_1\times 4_C_1\\\\\\=\dfrac{2!}{1!\times (2-1)!}\times \dfrac{4!}{1!\times (4-1)!}\times \dfrac{7!}{1!\times (7-1)!}\times \dfrac{4!}{1!\times (4-1)!}\\\\=2\times 4\times 7\times 4\\\\=224$

Hence, the different card designs that are possible are:

224

0,0(0 оценок)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question