1. How many numbers lying between 100 and 1000 can be formed with the digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?
2.How many words (with or without meaning) of three distinct letters of the English alphabets are there?
3. How many different words can be formed with the letters of the ‘MISSISSIPPI’?
4. Find the number of four-letter words, with or without meaning, which can be formed out of the letters of the word ROSE, where the repetition of the letters is allowed.
5. Find the number of permutations of the letters of the word ALLAHABAD.
6. How many four-digit numbers are there, when a digit may be repeated any number of times?
7. In how many ways 5 rings of different types can be worn in 4 fingers?
8. In how many ways can 5 letters be posted in 4 letter boxes?
9. Ex. 37: In how many ways can 3 prizes be distributed among 4 boys, when
(i) no boy gets more than one prize?
(ii) a boy must get any number of prizes?
(iii) no boy gets all prizes ?
10. In how many ways can the letters of the word ‘PENCIL’ be arranged so that
(i) N is always next to E?
(ii) N and E are always together?
2.How many words (with or without meaning) of three distinct letters of the English alphabets are there?
3. How many different words can be formed with the letters of the ‘MISSISSIPPI’?
4. Find the number of four-letter words, with or without meaning, which can be formed out of the letters of the word ROSE, where the repetition of the letters is allowed.
5. Find the number of permutations of the letters of the word ALLAHABAD.
6. How many four-digit numbers are there, when a digit may be repeated any number of times?
7. In how many ways 5 rings of different types can be worn in 4 fingers?
8. In how many ways can 5 letters be posted in 4 letter boxes?
9. Ex. 37: In how many ways can 3 prizes be distributed among 4 boys, when
(i) no boy gets more than one prize?
(ii) a boy must get any number of prizes?
(iii) no boy gets all prizes ?
10. In how many ways can the letters of the word ‘PENCIL’ be arranged so that
(i) N is always next to E?
(ii) N and E are always together?
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