The number of distinct terms in the expansion of ${(x+2y-3z+5w-7u)}^n$  is

Given expression ${(x+2y-3z+5w-7u)}^n$

If the expression in the base have r distinct terms

Then the expression will have ${ }^{n+r-1}{\text{C}}_{r-1}$ terms

Here the expression has 5^th term and

Its expansion has ${ }^{n+5-1}{\text{C}}_{5-1}$

${=}^{n+4}{\text{C}}_4$