1.

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

Answer»

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


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