Question

In how many different ways can 6 different balls be distributed into 4 different boxes, where each box can hold any number of ball?

• A. 2048
• B. 1296
• C. $(24{)}^2$
• D. 4096

Answer 1

The correct option is D 4096

Every ball can be distributed in 4 ways.
Hence the required number of ways $=4\times 4\times 4\times 4\times 4\times 4=4^6=4096$