multinomial but unique

A quick riddle from the Riddler, where the multinomial M(n¹,n²,100-n¹-n²) probability of getting three different labels out of three possible ones out of three draws is 20%, inducing a single possible value for (n¹,n²) up to a permutation. Since this probability is n¹n²(100-n¹-n²)/161,700, ... The post multinomial but unique first appeared on R-bloggers.
http://dlvr.it/S3tZ75

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