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MATH 2P82 MATHEMATICAL STATISTICS (Lecture Notes)

MATH 2P82 MATHEMATICAL STATISTICS (Lecture Notes)

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(number of combinations). This will also be called the binomial coeffi-cient. If we can duplicate (any number of times), and count the arrangements: nr Binomial expansion (x+y) n= Xn i=0 ³n i ´ x−iyi Multinomial expansion (x+y+z)n X i,j,k≥0 i+j+k=n µ n i,j,k ¶ xiyjzk (x+y+z+w)n= X i,j,k,c≥0 i+j+k+c=n µ n i,j,k,c ¶ xiyjzkwc etc ...

  Binomial

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