Mouth watering ice creams and mind watering problems-1

Probability Level 2

Sanjeet Raria owns a shop selling ice creams for pleasing you in the hot summer days. He has 6 different flavors of ice creams assuming each ice cream is of only one problem. You go to his shop to buy 4 ice creams, in how many ways can you choose the ice creams such that all the ice creams are of different flavors.


The answer is 15.

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Sandeep Bhardwaj
Jul 23, 2015

Here we want the number of ways of choosing 4 ice creams of different flavors out of ice creams of 6 different flavors.

So, we want the number of 4 combinations out of 6 objects without repetition= ( 6 4 ) = 15 \binom{6}{4}=15

Note: ( n r ) = n ! r ! ( n − r ) ! \binom{n}{r}=\dfrac{n!}{r!(n-r)!}

enjoy!

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Moderator note:

Simple standard approach.

Did it the same way....

Athiyaman Nallathambi - 5 years, 10 months ago

6C4 =15

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