) ways with the n0 positions. Summing over all possible r ( \ r1 The binomial expansion is given by: 50 1 + t \ k−1 r1 r (r +∞ xr1 (1 x ) = xr1 r1 (−1)t1 xt1 − · (k−1) xt2 − 1 2 =0 t1 (1 x)r1 1 − r1 − t1 t2 =0 therefore the coefficient on xn1 is L(−1)t1 (r1 )(r1 ) where the sum is taken over all t1 , t2 such that r1 + t1 (k − −1+t2 1) + t2 = n1 . t1 r1 −1
) ways with the n0 positions. Summing over all possible 50 The binomial expansion is given by: k−1 r1 r r1 ( \ r +∞ (r 1 + t \ xr1 (1 − x ) = xr1 r1 (−1)t1 xt1 (k−1) · 1 − 2 xt2 (1 − x)r1 t1 t1 =0 t2 =0 r1 − 1 therefore the coefficient on xn1 is L(−1)t1 (r1 )(r1 −1+t2 ) where the sum is taken over all t1 , t2 such that r1 + t1 (k − 1) + t2 = n1 . t1 r1 −1
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