Leah Envelopes Wrong

Leah wrote 4 letters and correctly addressed 4 envelopes. She put one letter into each envelope, but she was careless and got some of them mixed up. As it happened, one of these three things was how it came out: she got exactly 3 of them right, or she got exactly 2 of them right, or she got exactly one of them wrong. How many did she get right?

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Squares in Sixteen Dots

Here are 16 dots arranged as what are called lattice points. Pretend that they are trees in an orchard. If you tie a rope around some of these trees you can make squares. How many different sized squares can you make this way? (You are not asked to count how many of each size; just find all the different sizes possible.)

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