Question

X + y + z = 30 how to select x y z permutation combination

Answer 1

X+y+z =30
=30/3
=10
x=10
y=10
x=10

Answer 2

Answer:

Step-by-step explanation:

x+y+z=30

lets write the possibilities in the random variable c

x can take 0,1,2,3,.....29 and 30

y can take 0,1,2,3,.....,29 and 30

z can take 0,1,2,3,....,29 and 30

lets write this possibilities in random variable c

x=c^0+c+c^2+c^3+.........+c^30

like y and z are same as x

multiply x,y and z

you get (1+c+c^2+c^3+.....+c^30)^3

find coefficient c^30 in above expression

first lets take sum of expression

sum is 1-c^30 / 1-c

as it has cube,lets keep it

(1-c^30 / 1-c)^3

lets coefficient of x^30 in above

1-c^30 is not useful for us because it has cube

so lets take 1-c^30 equivalent to 1

therefore coefficient of x^30 in (1-x)^-3

formula for this is coefficient of x^r in (1-x)^-n

is n+r-1 c r

on applying above

we get

32 c 30

=496 ways