How many words can be formed with the letters of the word 'PATALIP | Filo

Class 11

Math

Algebra

Permutations and Combinations

544
150

How many words can be formed with the letters of the word without changing the relative order of the vowels and constants?

Solution: If we beak down the word ,
we have 6 consonants
and 5 vowels
letter P takes places
T takes  places out of remaining 4 places
L takes places out of remaining 2 places
R takes remaining place
Similarly,
Letter A takes  places
I takes places out of remaining 2 place
U takes 1 remaining place
Total number of ways
ways
Hence, option 'A' is correct.
544
150

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