Not so complicated distribution

Probability Level 4

Find the number of ways in which 2 n {2n} objects of each of three kinds can be given two person, so that each person gets 3 n {3n} objects.

3 n 2 + 3 n + 1 3n^2+3n+1 n 2 + n + 1 n^2+n+1 n 2 + 2 n + 3 n^2+2n+3 4 n 2 + 4 n + 1 4n^2+4n+1 2 n 2 + 2 n + 1 2n^2+2n+1 3 n 2 + 2 n + 1 3n^2+2n+1

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Nihar Mahajan by Nihar Mahajan , 20, India

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1 solution

Muhammad Ihsan
May 9, 2015

i just check when n = 1, i get 7 ways. And 3n^2 + 3n + 1 is only solution. ^^

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Challenge student note: Wise but incomplete.What guarantee can you give for all n > 1 n>1 ?

Nihar Mahajan - 6 years, 1 month ago

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