How do you solve this? How many words can we make with the following letters PTEXYPADFYOLNQYIG keeping the vowels in the same position?
2026-03-28 04:53:23.1774673603
How many words can we make with the following letters $PTEXYPADFYOLNQYIG$?
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With vowels retaining their position, but permutable, they can be placed in $4!$ ways
There are $13$ consonants including $2 P's$ and $3 Y's$ which necessarily have to remain in the places for consonants, so permute in $\dfrac{13!}{2!3!}$ ways
Multiply the two to get total possible arrangements with given restrictions.