In How Many Different Ways Can The Letters Of The Word ‘judge’ Be

1.	In How Many Different Ways Can The Letters Of The Word ‘judge’ Be Arranged In Such A Way That The Vowels Always Come Together?
Answer» The word JUDGE has 5 different LETTERS. When, the vowels UE are always together, they can be supposed to form one LETTER. Then, we have to arrange the letters JDG (UE). Now, 4 letters can be arranged in 4! = 24 WAYS. The vowels (UE) can be arranged in 2! = 2 ways. Required number of ways = (24 x 2) = 48. The word JUDGE has 5 different letters. When, the vowels UE are always together, they can be supposed to form one letter. Then, we have to arrange the letters JDG (UE). Now, 4 letters can be arranged in 4! = 24 ways. The vowels (UE) can be arranged in 2! = 2 ways. Required number of ways = (24 x 2) = 48.

In How Many Different Ways Can The Letters Of The Word ‘judge’ Be Arranged In Such A Way That The Vowels Always Come Together?

Answer»

The word JUDGE has 5 different LETTERS.

When, the vowels UE are always together, they can be supposed to form one LETTER.

Then, we have to arrange the letters JDG (UE).

Now, 4 letters can be arranged in 4! = 24 WAYS.

The vowels (UE) can be arranged in 2! = 2 ways.

Required number of ways = (24 x 2) = 48.

The word JUDGE has 5 different letters.

When, the vowels UE are always together, they can be supposed to form one letter.

Then, we have to arrange the letters JDG (UE).

Now, 4 letters can be arranged in 4! = 24 ways.

The vowels (UE) can be arranged in 2! = 2 ways.

Required number of ways = (24 x 2) = 48.