Question

Find the number of words that starts with T, if the letters of NESTLE are permuted in all possible ways.

• A. 30
• B. 60
• C. 90
• D. 120

Answer 1

The correct option is B 60

Keeping the letter T fixed at the first position, the number of letters left for arranging = 5. These 5 letters can be arranged in 5! ways. But, since E is repeated, the total number of arrangements would be $\frac{5!}{2!}=\frac{120}{2}=60.$