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How many 6-digit whole numbers have the digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them?

 Mar 1, 2022
 #1
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ohno! if your hw is already due before i said this, then sorry! :'(

             so there are 3 choices:

1:  \(xy2022\)

    for this one, x can be 1-9 and y can be 0-9.    9x10=90 choices

 

2: \(2022xy\)

    for this one, x and y can be 0-9, so 10x10=100 choices

3: \(x2022y\)

   for this one, 9x10=90 choices

total=90+100+90=280 choices!

 Mar 1, 2022

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