Step-by-step explanation:
Casey wears [tex]1[/tex] shirt,[tex]1[/tex] skirt and [tex]1[/tex] blazer.
Casey has to choose [tex]1[/tex] shirt among the [tex]5[/tex] shirts available to her.So,the number of ways she can choose a shirt is [tex]5[/tex].
Casey has to choose [tex]1[/tex] skirt among the [tex]3[/tex] skirts available to her.So,the number of ways she can choose a skirt is [tex]3[/tex].
Casey has to choose [tex]1[/tex] blazer between the [tex]2[/tex] blazers available to her.So,the number of ways she can choose a blazer is [tex]2[/tex].
The total number of possible combinations is the product of number of ways she can choose a shirt,number of ways she can choose a skirt and number of ways she can choose a blazer.
So,the total combinations are [tex]5\times 3\times 2=30ways[/tex]
