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Find the value of n such that nP5=42 x...

Find the value of n such that
`nP_5=42 xx nP_3,n>4`

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MAXIMUM PUBLICATION-PERMUTATION AND COMBINATIONS-EXAMPLE
  1. Find the number of permutation of the letters of the word ALLAHABAD.

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  2. Find r ,if ^5Pr = 2 xx ^6P(r-1)

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  3. Find the value of n such that nP5=42 xx nP3,n>4

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  4. A committee of 3 persons is to be constituted from a group of 2 men an...

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  5. A committee of 3 persons is to be constituted from a group of 2 men an...

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  6. If ^nC2 : ^(2n)C1 = 3:2 find n

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  7. Find the number of words that can be formed from the letters of the wo...

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  8. If 5 xx 4Pr = 6 xx 5P(r-1) find 'r'.

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  9. How many 3 digit number can be formed with the digits 0,1,2,3 and 4?

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  10. In a Panchayath there are 10 Panchayath members. Ladies contested only...

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  11. Prove that nCr = nC(n-r)

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  12. Twenty eight matches were played in a volley ball tournament. Each tea...

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  13. If the letters of the word 'TUTOR' be permuted among themselves and ar...

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  14. A student is Instructed to answer any 8 out of 12 questions. How man...

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  15. A student is Instructed to answer any 8 out of 12 questions. How man...

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  16. A student is Instructed to answer any 8 out of 12 questions. How ma...

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  17. solve for the Natural n, 12.(n-1)P3 = 5.(n+1)p3

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  18. In how many ways can 7 athletes be chosen out of 12?

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  19. The English alphabets has 5 vowels and 21 consonants. How many words w...

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  20. Find r if 5Pr =6p(r-1)

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