There are 80 sundaes possible using one flavor of ice cream and three different toppings.
Here, we are given that a club is hosting an ice cream sundae party with four different flavors of ice cream and six different toppings.
For choosing 1 flavor of ice cream from 4, we have 4 ways.
Now, we need to choose 3 different toppings from the given 6.
This can be done in 6C3 ways
6C3 = 6! / (3! × 3!)
= (6 × 5 × 4) / (3 × 2)
= 120/ 6
= 20
Thus, we have 20 ways of choosing 3 different toppings.
Now, the number of ways of making the sundaes would be-
4 × 20
= 80
Thus, there are 80 sundaes possible using one flavor of ice cream and three different toppings.
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