no of 4 DISTINCT Letter words from MATHEMATICS

USING MULTINOMIAL THEOREM I GET

coefficent of x^4 in ((1+x)^5) *((1+x+x^2)^3)

can yu help me find the coefficient of x^4 in this

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- Nov 18th 2011, 05:23 AMprasumNo. of distinct 4 letter words from mathematics.
no of 4 DISTINCT Letter words from MATHEMATICS

USING MULTINOMIAL THEOREM I GET

coefficent of x^4 in ((1+x)^5) *((1+x+x^2)^3)

can yu help me find the coefficient of x^4 in this - Nov 18th 2011, 07:01 AMSorobanRe: four letter
Hello, prasum!

If I read the problem correctly, you are complicating it.

Quote:

Number of 4-letter words with__distinct__letters from MATHEMATICS.

There are eight distinct letters:.$\displaystyle \{A,C,E,H,I,M,S,T\}$

We select and permute 4 of them.

Answer: .$\displaystyle _8P_4 \:=\:\frac{8!}{4!} \:=\: 1680$