A certain lottery has 3434 numbers. in how many different ways can 44 of the numbers beâ selected? (assume that order of selection is notâ important.)

The correct question is

A certain lottery has 34 numbers. in how many different ways can 4 of the numbers be selected? (assume that order of selection is not important.)

we know that

C=n!/[ (n-r) !*r!]

n=34

r=4

then

C=34!/[ (34-4) !*4!]=34*33*32*31/[4*3*2*1]=46376

the answer is 46376