Considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also discuss this problem and we pr
esent their model. For our purposes, it can be described as a multinomial model with the four categories C1, C2, C3 , and C4 . For a sample of size n, let X = (X1, X2, X3 , X4 )′ denote the observed frequencies of the four categories. Hence, n = +4 i=1 Xi. The probability model is
You have to subtract the two people who are already doing something in line so you would do 11-2 which equals 9. Then you would do 9 mPr 9 which gives you an answer of 362,880.