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Nimfa-mama [501]
2 years ago
6

A drawer contains 22 black socks and 22 white socks. If the light is off and Matt reaches into the drawer to get his​ socks, wha

t is the minimum number of socks he must pull out in order to be sure that he has a matching​ pair?
Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:  At least 3

Step-by-step explanation:

Lets solve this problem by the pidgeon hole principle. Suppose that Matt pulls out 2 socks, if he gets a matching pair then he is done and that's it. But now suppose that he gets one black sock and one white sock, if he then pulls out a third sock it will be either white or black, in either case he would have gotten with a 100% certainty a matching pair, since he already has a black and a white sock. So the minimum number to ensure he gets a matching pair is 3 socks.

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stiv31 [10]

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) :  r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b =  22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b  = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

6 0
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solmaris [256]

Answer:

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Step-by-step explanation:

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jasenka [17]

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Step-by-step explanation:

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40 70 is the right answer ❤️❤️❤️❤️❤️❤️❤️
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