Question

A shop sells 6 different flavours of ice cream in how many ways can customer choose 4 ice creamns if they contain 3 different flavours

Answer 1

Answer:

in 720 ways such combinations can be choose.

Answer 2

60 ways can customer choose 4 ice creamns if they contain 3 different flavors.

Step-by-step explanation:

Given : A shop sells 6 different flavors of ice cream.

To find : In how many ways can customer choose 4 ice creams if they contain 3 different flavors ?

Solution :

There are 6 different flavors let it be 'a,b,c,d,e,f'.

We have to choose 4 ice creams if they contain 3 different flavours.

i.e. one flavor repeat itself.

Let it be 'a,a,b,c'.

The required ways we choose is

$W=\ ^6C_3\times \frac{3!}{2!}$

$W=\frac{6!}{3!(6-3)!}\times \frac{3!}{2!}$

$W=\frac{6\times 5\times 4\times 3!}{3!3!}\times \frac{3!}{2!}$

$W=\frac{6\times 5\times 4}{2}$

$W=60$

Therefore, 60 ways can customer choose 4 ice creamns if they contain 3 different flavors.

#Learn more

The ice-cream shop has 320 vanilla ice-creams,234 strawberry ice-creams and 442 chocolate flavoured ice creams.How many vanilla and strawberry ice-creams does the shop have?​

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