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

Prove that `nC_r = nC_(n-r)`

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MAXIMUM PUBLICATION-PERMUTATION AND COMBINATIONS-EXAMPLE
  1. How many 3 digit number can be formed with the digits 0,1,2,3 and 4?

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

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

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

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

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

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

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

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

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

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

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

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  13. If there are 12 persons in a party and each of them shake hands with a...

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  14. In How many ways can a committee of 3 men and 2 women be selected out ...

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  15. Find the value of n such that 3nP4 = 5.(n-1)P4 , n>4

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  16. In how many ways can 5 students be seated on a bench?

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  17. Find the number of different 8-letter arrangements that can be made fr...

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  18. Find the number of different 8-letter arrangements that can be made fr...

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  19. Determine n if 2nC3 = 11 n C3

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  20. In how many ways can a cricket team of 11 of players be selected from ...

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