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
Hello, prasum!
If I read the problem correctly, you are complicating it.
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: .$\displaystyle _8P_4 \:=\:\frac{8!}{4!} \:=\: 1680$