Question

The number of different ways in which the letters of the word LEADER can be arranged is

• A. 720
• B. 240
• C. 360
• D. 120

Hint:

Total letters factorial divided by the factorial of each repeated letter's count.

Answer 1

The Correct Option is C

Step 1: Place the two E's first.
Choose 2 of 6 positions for the E's: $\binom{6}{2}=15$ ways.
Step 2: Arrange the rest.
The 4 distinct letters fill the remaining spots in $4!=24$ ways.
Step 3: Multiply.
$15\times24=360$.
\[\boxed{360}\]