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How many four-digit numbers can be forme...

How many four-digit numbers can be formed by using the digits 1, 2, 3, 4, 5, 6, 7 if at least one digit is repeated.

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Find .^5P2

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  2. Evaluate the following .^5P3

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  3. Find the number of ways in which 5A^(prime)s and 6B ' s can be arrange...

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  4. How many four-digit numbers can be formed by using the digits 1, 2, 3,...

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  5. There are six periods in each working day of the school. In how many ...

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  6. Find the number of permutation of all the letters of the word MATHE...

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  7. Find 5P3

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  8. In how many ways can 30 marks be allotted to 8 question if each que...

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  9. Find the number of arrangements of the letters of the word SALOON, if ...

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  10. If the best and the worst paper never appear together, find in how man...

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  11. Find the probability that the birth days of six different persons will...

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  12. A committee of 6 is chosen from 10 men and 7 women so as to contain at...

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  13. If .^(n+2)C8:^(n-2)P4:: 57 : 16 , find n

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  14. Find the number of positive integers, which can be formed by using any...

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  15. Write the first four terms of the A.P. when its first term is – 5 and ...

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  16. In how many ways can 5 girls and 5 boys be arranged in a row if all bo...

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  17. Solve: an= (3n^2)/2 + (5n)/2 Find the 25th term.

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  18. If there are 12 persons in a party, and if each two of them shake hand...

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  19. Find the ratio of .^20Cr and .^(25)Cr when each of them has the greate...

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  20. If a ,b ,c in {1,2,3,4,5,6,} find the number of ways a, b, c can be ...

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