How Many Arrangements Of The Letters Of The Word ‘bengali’ Can Be

1.	How Many Arrangements Of The Letters Of The Word ‘bengali’ Can Be Made If The Vowels Are To Occupy Only Odd Places?
Answer» There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants. There are 4 odd places and 3 even places. 3 vowels can OCCUPY 4 odd places in 4P3 ways and 4 constants can be ARRANGED in 4P4ways. Number of WORDS =4P3x4P4= 24 x 24 = 576. There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants. There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in 4P3 ways and 4 constants can be arranged in 4P4ways. Number of words =4P3x4P4= 24 x 24 = 576.

How Many Arrangements Of The Letters Of The Word ‘bengali’ Can Be Made If The Vowels Are To Occupy Only Odd Places?

Answer»

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.

There are 4 odd places and 3 even places.

3 vowels can OCCUPY 4 odd places in 4P3 ways and 4 constants can be ARRANGED in 4P4ways.

Number of WORDS =4P3x4P4= 24 x 24 = 576.

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.

There are 4 odd places and 3 even places.

3 vowels can occupy 4 odd places in 4P3 ways and 4 constants can be arranged in 4P4ways.

Number of words =4P3x4P4= 24 x 24 = 576.