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There are 15 persons in a party and if e...

There are 15 persons in a party and if each 2 of then shakes hands with each other , how many handshakes happen in the party ?

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(i) A kabaddi coach has 14 players ready to play. How many different teams of 7 players could the coach put on the court? (ii) There are 15 persons in a party and if , each 2 of them shakes hands wit each with each other. How many handshakes happen in the party? (iii) How many chords can be drawn through 20 points on a circle? (iv) In a parking lot one hunderd, one year old cars are parked. Out of them five are to be chosen at random for to check its pollution devices. How many different set of five cars are possible? (v) How many ways can a team of 3 boys, 2 girls and 1 transgender be selected from 5 boys, 4 girls and 2 transgender?

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SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
  1. Prove that if 1 le r le n " then " n xx^((n-1))C(r-1)= (n-r+1).^(n)...

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  2. A Kabaddi coach has 14 players ready to play. How many different...

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  3. There are 15 persons in a party and if each 2 of then shakes hands w...

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  4. How many chords can be drawn through 20 points on a circle ?

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  5. In a parking lot one hundred one year old cars, are parked. Out of t...

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  6. How many ways can a team of 3 boys, 2 girls and 1 transgender be se...

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  7. Find the total number of subsets of a set with . (i) 4 elements (...

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  8. A trust has 25 members . (i) How many ways 3 officers can be sel...

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  9. How many ways a committee of six persons from 10 persons can be chosen...

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  10. How many different selections of 5 books can be made from 12 differe...

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  11. There are 5 teachers and 20 students . Out of them a committee of t...

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  12. In an examination a student has a answer 5 questions, out of 9 quest...

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  13. Determine the number of 5 card combinations out of a deck of 52 car...

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  14. Find the number of ways of forming a committee of 5 members out of...

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  15. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

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  16. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also...

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  17. A box contains two white balls, three black balls and four balls. In...

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  18. Find the number of strings of 4 letters that can be formed with the le...

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  19. How many triangles can be formed by 15 points , in which 7 of them ...

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  20. There are 11 points in a plane. No three of these lies in the same ...

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