Question

A clothing store stocks socks made of either cotton or wool, each in five colors, and each in seven sizes. How many items are needed for a complete assortment?

a)14
b)35
c)70

Answer 1

There are two types in five colours so 2x5=10. There are then seven sizes of each so 7x10=70. Your answer is C.70. I really need brainliest answers.

Answer 2

Answer:

Option: c is the correct answer.

             c)     70

Step-by-step explanation:

There are two choices in the quality of the item i.e. Cotton or wool.

There are 5 choice of color.

Also there are seven sizes.

Hence, in order to find the total number of items that are needed for a complete assortment we need to use to method of permutation.

i.e. the calculation is:

      $2_P_1\times 5_P_1\times 7_P_1\\\\\\=\dfrac{2!}{(2-1)!}\times \dfrac{5!}{(5-1)!}\times \dfrac{7!}{(7-1)!}\\\\\\=\dfrac{2!}{1!}\times \dfrac{5!}{4!}\times \dfrac{7!}{6!}\\\\\\=2\times 5\times 7\\\\\\=70$

                Hence, the answer is:

                        c)   70