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  3. you're cleaning up your little nephew's toy room.

You're cleaning up your little nephew's toy room. There are T toys on the floor and...

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Advance Math

You're cleaning up your little nephew's toy room. There are Ttoys on the floor and n empty toy storage boxes. You randomly throwtoys into boxes, and when you're done the box with the most toyscontains N toys.

(a)What is the smallest that NN could be when T=2n+1?

(b) What is the smallest that NN could be when T=kn+1?

(c)Now suppose that the number of toys T satisfies

T

Prove that when you are done cleaning there will be (at least)one pair of boxes that contain the same number of toys.

Answer & Explanation Solved by verified expert
3.8 Ratings (338 Votes)
In both parts I will find the minimum value of N Since NN N2 is increasing function of N we would have found the required minimum value ClaimN3 Lets assume there was a    See Answer
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