## 1. In how many different ways can the letters of the word ENGINEERING be arranged?

## 2. In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the odd positions?

## 3. In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?

## 4. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

## 5. In how many different ways can the letters of the word DISPLAY be arranged?

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