The minimum number of socks that she needs to get such that a pair is always formed is 5.
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How many socks must she get to be ensured of having a pair?</h3>
We know that she has:
- 10 white socks.
- 10 black socks
- 10 brown socks
- 10 blue socks.
First, we need to compute the maximum number of socks she needs to take in such a case that no pair is formed.
That will be 4, and represents the case where:
1 white sock, 1 black sock, 1 brown sock, and 1 blue sock are drawn. At that point, no pairs are formed.
Now, if she draws another sock, a pair will always be formed.
From this, we conclude that if she draws 5 socks, always at least one pair will be formed.
If you want to learn more about combinations, you can read:
brainly.com/question/11732255
