Question

The number of $4-letter$ words that can be formed out of the letters of the word "FIITJEE" is

• A. $5040$
• B. $1260$
• C. $270$
• D. $180$

Answer 1

Answer: (C)

$270$

$FIITJEE$

There would be some ares $\to$

1) All distinct letter i.e. $FITJE$

$=$ ${}^5{C}_4\times 4!=120$

2) 2 same letter & 2 distinct letter $\to$

${}^2{C}_4{\times }^4{C}_2\times \frac{4!}{2!}=144$

For 2 same For distinct Arrangements

3) 2 same & 2 same $\to$ (i.e. IIEE)

$\to \frac{4!}{2!2!}=6$

So, Total no. of cases $=120+144+6=270$