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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
12 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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