Dustin has a set of 180 distinct blocks. Each of these blocks is made of either wood or plastic and comes in one of three sizes (small, medium, large), five colors (red, white, blue, yellow, green), and six shapes (triangular, square, rectangular, hexagonal, octagonal, circular). How many of the blocks in this set differ from a) the small red wooden square block in exactly one way? (For example, the small red plastic square block is one such block.) b) the large blue plastic hexagonal block in exactly two ways? (For example, the small red plastic hexagonal block is one such block.) listing the differences for part a) was simple but part b) I am unsure of

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

This question is interesting. So there are 4 sets of characteristics: Material, Size, Color, Shape. a) Small Red Wooden Square not Small = Medium & Large., so 2/3 of the blocks; OR not Red = the other 4 colors, so 4/5 of the blocks; OR not Wooden = Plastic, so 1/2 of the blocks; OR not Square = the other 5 shapes, so 5/6 of the blocks. This is where I'm stuck. So we pick the largest fraction now? 5/6? (5/6) * 180 = ??

no, you would add all them up, not as fractions. there are 2 differences in size, 4 in color, 1 in material, and 5 in shapes. Thats 12 varatations and what I did was just list them out. changing the shape: small, red, wood, triangular small, red, wood, rectangular small, red, wood, hexagonal small, red, wood, octagonal small, red, wood, circular changing the material: small, red, plastic, square changing the color: small, white, wood, square small, blue, wood, square small, yellow, wood, square small, green, wood, square changing the size: medium, red, wood, square large, red, wood, square This would not be as simple for part B though and I am unsure of where to start with that one.

b) Large Blue Plastic Hexagonal And different in exactly two ways so the other blocks could be: -Large Blue but not Plastic and not Hex -Large Plastic but not not Blue and not Hex -Large Hex but not Blue and not Plastic -Blue Plastic but not Large and not Hex -Blue Hex but not Large and not Plastic -Plastic Hex but not Large and not Blue Is that all? Did I miss a case? There must be a better way to do this...

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.