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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