Question

The no. of ways can 5 balls be distributed into 3 boxes so that every box contains at least one ball if balls are different and boxes are different

• A. 150
• B. 50
• C. 25
• D. 70

Answer 1

Answer: (A)

150

Answer 2

Required no. of ways

= 3⁵ - $3C_{1}$ (3 – 1)⁵ + $3C_{2}$ (3 – 2)⁵ = 150