Question

an ice-cream shop offers 3 types of cones and 5 different flavors of ice-cream. How many possible ice-cream cone combination re there?

Answer 1

The total ways obtained by the addition of the following and then multiply by 3

If we take only one flavor out of 5 flavors then the possible ways = ⁵C₁ = 5

If we take only three flavors out of 5 flavors then the possible ways = ⁵C₃ = 10

If we take only four flavors out of 5 flavors then the possible ways = ⁵C₄ = 5

If we take all five flavors out of 5 flavors then the possible ways = ⁵C₅= 1

After addition we get (5 + 10 + 10 + 5 + 1 ) = 31

Therefore total ways = 31 * 3 = 93