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

Find r ,if `^5P_r = 2 xx ^6P_(r-1)`

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Evaluate (n!)/((n-r)!) n = 9, r = 5

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  2. Find n if 3^nP4=^(n-1)P5

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

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  4. In how many different ways can the letters of the word HEXAGON be perm...

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  5. In how many ways 4 boys and 3 girls be seated in a row of 7 chairs if ...

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  6. Find the number of all five digit numbers with distinct digits.

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  7. How many words can be formed out of the letters of the word “TRIANGLE”...

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  8. In flow many ways can the letters of the word “PENCIL” be arranged, so...

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  9. In how many ways can 9 examination papers be arranged so that the best...

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  10. In how many ways can 5 boys be seated at a round table?

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  11. In how many ways can 7 beads of different colours form a necklace?

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  12. If all the pemutations of the word ‘ ‘AGAIN” are arranged in a diction...

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  13. In how many ways can 5 men and 4 women be seated at a round table if e...

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  14. If 20 persons were invited for a party, in how many ways can they and ...

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  15. How many 3-digit numbers can be formed by using the digits 1 to 9 if n...

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  16. How many 4 digit numbers are there with no digit repeated?

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  17. How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7...

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  18. Find the number of 4-digit numbers that can be formed using the digits...

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  19. From a committee of 8 persons, in how many ways can we choose a chairm...

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  20. Find the value of n such that (n-1)P3 : nP4=1:9

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