Question

In how many ways can 4 women fill water into 4 different bottles if no bottle can be filled more than once?

• A. 4
• B. 16
• C. 24
• D. 64

Answer 1

The correct option is C 24

1^st woman can fill water into any of the 4 bottles.
2^nd woman can fill water into any of the remaining 3 bottles.
Similarly, 2 and 1 bottle for the 3^rd and 4^th woman respectively.
Thus, the total number of ways $=4\times 3\times 2\times 1=24$ ways