Question

In how many ways can 18 identical balls be distributed among 3 identical boxes ?

Answer 1

hey there

all the ball can be place in any of the three boxes as repetition is allowed

so

the number of way

= 3^18

hope it helps! :-)

thank you

Answer 2

total balls = 18

imagine that there r  3 boxes

without replaceent

we can add any 1 of the 18 in first box and for the second box the total will be 17 as we have put one ball in the first one and then the second one we can add 16

so 18 x 17 x 16

4896 ways


with replacement

we can add any one of 18 balls into any boxes as they r replaced

so  18 x 18 x 18

5832 ways