there are 7 toppings. if a sundae must have 4 toppings how many combinations can you make

3 answers

There are 35 possible combinations.

This can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

Where n is the total number of toppings (7) and r is the number of toppings needed for each sundae (4).

So, nCr = 7! / (4! * (7-4)!) = 35
what if there were only 6 toppings
If there were only 6 toppings, the number of possible combinations for a sundae with 4 toppings would be:

nCr = 6! / (4! * (6-4)!) = 15

Therefore, there would be 15 possible combinations of 4 toppings from the 6 available.