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Find the value of n such that ""^nP5 = 4...

Find the value of n such that `""^nP_5 = 42 ""^nP_3,,n gt 4`.

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The correct Answer is:
therefore, `n=10`.
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OMEGA PUBLICATION-PERMUTATIONS AND COMBINATIONS-Multiple Choice Questions (MCQs)
  1. Find the value of n such that ""^nP5 = 42 ""^nP3,,n gt 4.

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  2. In a group of boys two boys are brothers and in this.group.6 more boys...

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  3. Seven women.and seven men are to sit around a circular table, such tha...

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  4. In how many ways can 5 different beads be arranged to form a necklace?

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  5. The value of ""^(15)C(11)+""^(15)C(10) is equal to

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  6. If \ ^(43)C(r-6)=\ ^(43)C(3r+1)\ then the value of r is

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  7. ""^nCr+2^nC(r+1)+""^nC(r+2) is equal to (2 le r le n)

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  8. Every body in a room shakes hand with every body else. The total numbe...

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  9. There are n points in a plane of which p points are collinear. How man...

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  10. There are n points in a plane of which p points are collinear. How man...

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  11. The number of diagonals that can be drawn by joining the vertices of a...

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  12. A polygon has 44 diagonals. The number of its sides is

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  13. The value of ""^8P7 is

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  14. P(n, 6) = 3 P(n, 5), then n is equal to

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  15. If 2 ""^nP3 = ""^(n+1)P3, then n is equal to

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  16. The value of ""^nPr, and ""^nCr will be equal when

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  17. (C(9,7))/(C(9,5))=?

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  18. The numbers of diagonals in an n sided figure is equal to

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  19. If ""^(35)C(n+7)=""^(35)C(4n-2) then all the values of n are given by

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  20. Ashok, Usha, Rani, Sonu are to give speeches in a class. The teacher c...

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  21. How many words can be formed from the letters of the word 'COMMITTEE'?

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