I think of the ten digits as the “cookies” (so the stars) to be distributed to 5 “children” (therefore , necessitating 5-1=4 bars). But in that case it would be C(14,4), which is not the same as C(14,5). Will you kindly explain why this is wrong? That is, why are the ten digits to be viewed as ten “bars” and not ten “stars?” Thank you.
I think of the ten digits as the “cookies” (so the stars) to be distributed to 5 “children” (therefore , necessitating 5-1=4 bars). But in that case it would be C(14,4), which is not the same as C(14,5). Will you kindly explain why this is wrong? That is, why are the ten digits to be viewed as ten “bars” and not ten “stars?” Thank you.