The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is

Number of ways =37C2=37!35!×2!=666 ways For the distribution equation.x1+x2+x3+…+xr=nThe number of ways in which n things can be distributed among r in such a way each can receive none, one or more or all of n items are  n+r−1Cr−1