New binomial

Please prove the multinomial theorem...

i,e (x+y+z)n= Σ n!p!q!r!xpyqzr . p,q,r are non - negative integer and p+q+r=n ?

1 Answers

62
Lokesh Verma ·

It is not very much in syllabus..

But it is good that you are asking this question

try to expand (x+y+z)^2

then try (x+y+z)^3

if you observe nicely then you will get the answer..

Moreover, what you can do is find out in how many terms will x get repeated a times, y b times and z c times to get the coeff of xaybzc where a+b+c=n

Your Answer

Close [X]