Anthony Toorie
New member
The situation : You’re making a soup of carrots, zucchinis, celery, potatoes, and onions. Your recipe must contain exactly 7 full vegetables.
The question : How many recipes can you have such that your soup always contains at least one potatoe and at least one onion, but you don’t care what order you put the vegetables in the pot?
I know that the number of soups without order is 7 C 5. But I am really confused on how to do this with restrictions.
One guess I had was, 5 C 2 a part of it, where we are getting the number of ways we can chose onion and potatoes from all the vegetables.
The question : How many recipes can you have such that your soup always contains at least one potatoe and at least one onion, but you don’t care what order you put the vegetables in the pot?
I know that the number of soups without order is 7 C 5. But I am really confused on how to do this with restrictions.
One guess I had was, 5 C 2 a part of it, where we are getting the number of ways we can chose onion and potatoes from all the vegetables.