# An ice-cream parlor sells sundaes with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to chose from. what is the...

An ice-cream parlor sells sundaes with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to chose from.

what is the probability that a customer orders a sundae including the toppings of whipped cream, caramel syrup, chocolate syrup, and cookie crumbles?

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### 1 Answer

with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to chose from.

what is the probability that a customer orders a sundae including the toppings of whipped cream, caramel syrup, chocolate syrup, and cookie crumbles?

Ice parlor has

Nos. of types of ice cream =3

Nos. of different toppings= 4

Nos. of flavors=8 (in ice cream)

Nos. of Toppings =10

Thus total nos. of possible selectin of sundaes= C(8,3) x C(10,4)

=56 x 210 = 11760

E=Orders of a sundae including the toppings of whipped cream, caramel syrup, chocolate syrup, and cookie crumbles

= all flavours and toppings of whipped cream, caramel syrup, chocolate syrup, and cookie crumbles

The number of ways by which E can be happend= C(8,3) x 4

=224

P(E)= 224/11760

=.019

**Thus required probability is .019**