Respuesta :
In 150000 ways a shirt be created, if one option is selected for each of given category.
Solution:
Given that Â
A local T-shirt company has  20 slogans for the front of the shirt,  50 colors of shirts,  15 logos for the back of the shirt , 10 shirt size
Need to determine in how many ways can a shirt be created , if one option is selected from each category.
Number of ways in which t – shirt from 20 slogans can be created = 20
Number of ways 1 colour t-shirt  from 20 slogans can be created = 20 x 1
So number of ways 50 colour t shirts from 20 slogas can be created = 20 x 50
Extending the same idea of multiplication for each option we can say that Number of ways in which T shirts from 20 slogans , 50 colors , 15 logos  , 10 shirt sie can be created = [tex]20 \times 50 \times 15 \times 10 = 150000[/tex]
Hence in 150000 ways a shirt be created, if one option is selected for each of given category.
