Question

How many distinct terms in the expansion (x+y+z+w)^30?

Answer 1

Step-by-step explanation:

as per multinomial theorem in binomial theorem there are 4 variable so use formula

$\binom{n - r + 1}{r + 1} c = \binom{30 - 4 + 1}{4 + 1} c = \binom{27}{5} c$

so 27C5 is number of terms