Question

How many words can be formed using all the letters of the following words  cats delhi  jaipur  hexagon  triangle

Answer 1

The total number of words formed using every letter of each word is given by:

1. CATS
No. of words formed without repetition of letters: 4! = 4 x 3 x 2 x 1 = 24
No. of words formed with repetitions of letters: (4)⁴ = 256

2. DELHI
No. of words formed without repetition of letters: 5! = 5 x 4 x 3 x 2 x 1= 120
No. of words formed with repetitions of letters: (5)⁵ = 3125

3. JAIPUR:
No. of words formed without repetition of letters: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
No. of words formed with repetitions of letters: (6)⁶ = 46656

4. HEXAGON:
No. of words formed without repetition of letters: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1= 5040
No. of words formed with repetitions of letters: (7)⁷ = 823543

5. TRIANGLE:
No. of words formed without repetition of letters: 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
No. of words formed with repetitions of letters: (8)⁸ = 1677216