## 1. In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?

## 2. How many Permutations of the letters of the word APPLE are there?

## 3. How many different words can be formed using all the letters of the word ALLAHABAD?

(a) When vowels occupy the even positions.

(b) Both L do not occur together.

(a) When vowels occupy the even positions.

(b) Both L do not occur together.

## 4. In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

## 5. In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

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