# How to solve the problem below?

Total 80 sweets are there. 20 red, 20 blue, 20 yellow and 20 green sweets.

How many sweets would a blindfolded person have to eat to be certain of eating at least one sweet of each color. Explain how.
replied by ELITE (4,083 points) 7 26 72
Maths isn't my best subject but looking at it logically I would say he should eat all of them to be sure of eating one of each colour. That's probably totally wrong but I thought I would try.
replied by LEGEND (6,011 points) 6 13 26
The probability of eating each sweet is one out of four and That would be twenty out of eighty. So perhaps he'd have to eat at least 20 sweets. This is just a thought.

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answered by (253 points) 1 3 11
Nice question and probably the mindset would be different of all person to solve the mathematical problem.

According to me, we can solve it by two means one if we need to know the probability of selecting at least one from all the four sweets we will go for a probability solution that is by the method of permutation.

Second one we can solve it normally like we have a total of 80 sweets, 20 from each color  If we choose the sweets blindfolded it may happen that we will choose all blue in first 20 pickups, then 20 all red in other 20 selections and afterwards the 20 that might all be yellow and in these 60 collection of sweets blindfolded contains no green sweet but if we collect single more there would be no chance of missing the sweet from any of the colour. Therefore my answer will be 61 so that i will be fully confident for selecting the sweets from all the colours.

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He will have to eat a minimum of 61 sweets to be sure that he has eaten atleast one of every colour

This can be assumed by taking an example that he ate 60 sweets of three colours and 1 sweet of the fourth colour.