How many four letter words can be formed using the letters of the word…
2025
How many four letter words can be formed using the letters of the word 'GAGANYAAN' with no repetition of letter?
- A.
3024
- B.
192
- C.
64
- D.
24
Attempted by 56 students.
Show answer & explanation
Correct answer: D
First, identify the distinct letters in 'GAGANYAAN': G, A, N, Y. There are 4 distinct letters available. Since the problem requires forming four-letter words with no repetition, all 4 distinct letters must be used. The number of ways to arrange these 4 letters is calculated as 4 factorial (4!). This equals 4 × 3 × 2 × 1 = 24 possible words.