Question

Exercise 1-26 Your local Ice Cream Shoppe has eleven flavors of ice cream, three types of cones (waffle, chocolate, and sugar), and five types of toppings (broken peanuts,
whipped cream, hot fudge, maraschino cherries, and sprinkles). How many different
two-scoop cones can be ordered that have two different flavors of ice cream, exactly one
topping, and your choice of cone?

Answer is 825 I just need the work

Answer 1

since, there is 11 flavors of icecreams and 2 flavors is need to be chosen.

so, this can be done in 11C2 ways

now, out of 3 types of cones , 1 cone can be choosen in 3C1 ways

and out of 5 type of topping, 1 topping can be choosen in 5C1 ways

so, total different ways = 11C2*3C1*5C1 = 825

please revert for doubt..