Question

(i) In how many ways can 4 different balls be distributed in 3 boxes?
(ii) In how many ways can 3 letters be posted in 4 letter boxes?​

Answer 1

Answer:(1)360 (2)81

Step-by-step explanation:

(1) 4 Balls in 3 boxes can be arranged in

n+r-1 P n i.e.

4+3-1 P 4 i.e.

6 P 4

=(6×5×4×3×2×1)/(2) =(6×5×4×3) = 360

[2] 3 letters in 4 post boxes , all boxes can be filled in 3 ways so total no. of ways are 3^4=81

Answer 2

Answer:

(i) distributing first ball in 3 boxes ways are 4, and samee for other two box.

then total ways will be 4x4x4=64

(ii) same as above, 3^4 = 81