Your drawer has 5 pairs of black socks, 4 pairs of gray socks, 2 pairs of white socks, 1 pair of brown socks, and 1 pair of blue socks. The lights are out, and you're in a rush to leave. What is the smallest number of socks you should pull out so that you can be assured that you will have at least one pair of matching socks? Note that there are no left or right socks and two socks of the same color will be considered matching.
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we will pick fourteen socks because their are total 13 pairs so if we pick 1 more than that then we will sury get a match
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6 is the smallest number of socks we should pull out so that we can be assured that we will have at least one pair of matching socks
Step-by-step explanation:
5 Pair of Black socks
4 Pairs of Grey Socks
2 Pairs of White Socks
1 Pair of Brown Socks
1 Pair of Blue Socks
There are total 5 color of Socks
So if We pick 6 Socks then we will have atleast one matching pair of Socks
as at worst case 5 Socks can be 1 from different colours but
6th Socks has to be one of the 5 colour and
we will will have matching pair
Learn more:
A lady has some socks and has in here closet 17 blue 47 red 24 ...
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