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FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-ADDITIONAL QUESTIONS
- Out of 18 points in a plane, no three are in the same line except five...
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- We wish to select 6 person from 8 but , if the person A is choosen , t...
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- How many 3-digit numbers can be made using digit 1,2,3,4,6,7 if no dig...
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- Find the number of 4-digit numbers that can be formed using the digits...
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- Iff ""^(5)P(r)=""^(6)P(r-1) find r.
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- How many words, with or without meaning , can be made from the letters...
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- A group consists of 4 girls and 7 boys. In how many ways can a team of...
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- A committee of 6 is to be choosen from 10 men and 7 women so as to con...
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- Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is forme...
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- If ""^(22)P(r+1):^(20)P(r+2)=11:52, find r.
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- If ""^(nP(r)=""^(n)P(r+1) and ""^(n)C(r)=""^(n)C(r-1) find n and r.
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- A committee of 7 peoples has to be formed from 9 men and 4 women . In ...
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- In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is
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- Find the number of ways of selecting 9 balls from 6 red balls, 5 white...
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- If 1/(7!)+1/(9!)=x/(10!), find x.
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- If ""^(n)C(4),^(n)C(5)" and "^(n)C(6) are in A.P. then find n.
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- Prove by induction the inequality (1+x)^(n) ge 1 + nx. whenever x is p...
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- Prove that 3^(2n)-1 is divisible by 8.
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- Prove that x^n-y^n is divisible by x - y for all positive integers n.
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- Prove by mathematical induction that for every natural number n, 3^(2n...
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