Question

In how many ways can the letters of the word 'VENTURE' be arranged?

• A. 840
• B. 5040
• C. 1260
• D. 2520
• E. None of these

Answer 1

The correct option is D 2520

${}^{\prime }VENTUR{E}^{\prime }$ has $7$ letters in it
These $7$ letters can be arranged in to $7$ ways$=7\times 6\times 5\times 4\times 3\times 2\times 1=5040$
However, $E$ is repeated so, number of actual arrangement would be $=\frac{5040}{(2!)}=\frac{5040}{2}=2520.$