Question

An ice-cream shop serves 5 flavors ice-cream to its customers. The shop has seating
capacity for 6 people. One fine Saturday morning, as the shop opens, 4 kids enter
the shop for ice-cream.

Please provide expanded formulas or expressions to answer following questions.
You need not solve the final arithmetic.
1. What are the different ways in which the 4 kids can sit?
2. What are the different types of orders possible, if each kid orders exactly one
serving of a flavor?
3. If only 2 servings of chocolate are available, what are the different ways in
which it can be served?

Answer 1

Solution:

given that

number of kids = 4

number of flavours available = 5

number of seats available = 6

1) number of different ways in which 4 kids can sit in 6 chairs =

=

= 360

2) number of different ways in which 4 kids can order from 5 flavours   =

   =

= 120

3)number of different ways 2 servings of chocolate can be served to 4 kids   =

   =

= 12