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permutaions n combinations where to apply coefficient of (x1+x2+x3+......) and how

permutaions n combinations 


where to apply coefficient of (x1+x2+x3+......) and how

Grade:11

1 Answers

jitender lakhanpal
62 Points
9 years ago

Dear siva,

we use multimonial theorom in permutation and combination in two cases

1) when we have to find number of ways of dividing n identical items among r persons then we will find the coefficient

of xr in the expansion of (1+x +x+x3 ........ xn)r

 2)when there are m items of one kind and n items of other and so on then number of ways of choosing r items out of these items is

    coefficient of x in the expansion   (1+x +x2 ........................xn)(1+x +x........................xm)   and so on

 

 

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