There are 5 types of vegetables to choose from (peppers, spinach, corn, cauliflower, and peas), and the customer has to pick 4 different vegetables (no repetition). Therefore, the number of possible combinations when choosing 4 options out of 5 possibilities without repetition is
[tex]5*(5-1)*(5-2)*(5-3)=5*4*3*2=5!=120[/tex]However, notice that the order actually does not matter. Choosing peas and then corn must be equivalent to choosing corn and then peas.
Thus, the possible number of outcomes is
[tex]\frac{5!}{4!(5-4)!}=\frac{5}{1!}=5[/tex]The answer is 5 possible outcomes provided tha
