Question

(a) You have 17 objects. Your job is to place all 17 objects in the two circles below so that each circle has the same number of objects in it. You can use circles, dots, X's, whichever is easiest to represent the objects; or you can just write in the numbers! A B (b) In how many ways can you place all 17 objects in the two circles so that each circle has the same number of objects in it? Be sure to show your work or explain your thinking. (c) Now, you want the ratio of objects in one circle to the other circle to be 4:3. How many ways are there to place all 17 objects in the two circles? This time, the two circles DON'T need to have the same number of objects in them. Again, be sure to show your work or explain your thinking.

          (a) You have 17 objects. Your job is to place all 17 objects in the two circles below so that each circle has the same number of objects in it. You can use circles, dots, X's, whichever is easiest to represent the objects; or you can just write in the numbers!
A
B
(b) In how many ways can you place all 17 objects in the two circles so that each circle has the same number of objects in it?
Be sure to show your work or explain your thinking.
(c) Now, you want the ratio of objects in one circle to the other circle to be 4:3. How many ways are there to place all 17 objects in the two circles? This time, the two circles DON'T need to have the same number of objects in them.
Again, be sure to show your work or explain your thinking.

(a) You have 17 objects. Your job is to place all 17 objects in the two circles below so that each circle has the same number of objects in it. You can use circles, dots, X's, whichever is easiest to represent the objects; or you can just write in the numbers!
A
B
(b) In how many ways can you place all 17 objects in the two circles so that each circle has the same number of objects in it?
Be sure to show your work or explain your thinking.
(c) Now, you want the ratio of objects in one circle to the other circle to be 4:3. How many ways are there to place all 17 objects in the two circles? This time, the two circles DON'T need to have the same number of objects in them.
Again, be sure to show your work or explain your thinking.

Added by Beatriz C.

Question

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