Question

In how many ways can 8 books be distributed among 5 students if each student is eligible for any number of books?

• A. $40$
• B. $5^8$
• C. $360$
• D. $8^5$

Answer 1

The correct option is B $5^8$

First book can be distributed to student in 5 ways, 2nd book again by 5 ways.

So, using same logic the total ways $=5\times 5\times \mathrm{5.......8}$ times

$=5^8$

Hence, the answer is $5^8.$