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Out of 3n given things 2n are alike and ...

Out of 3n given things 2n are alike and the rest are different Show thata selection of 2n things can be madde from these 3n things in `2^(n)` different ways .

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Long Answer Type Questions )
  1. In how many ways can a team of 11 cricketers be chosen from 9 batsmen ...

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  2. The Indian Cricket Eleven is to be selected out of fifteen players , f...

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  3. How many combinations can be formed of eight counters marked 1,2,3,4,5...

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  4. Find the number of permutations of the letters of the words FORECAST a...

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  5. In how many ways can the crew of an eight - oared boat be arranged if ...

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  6. Of the 17 articles , 12 are alike and the remaining 5 are different ...

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  7. Out of 3n given things 2n are alike and the rest are different Show th...

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  8. Show that there are 136 ways of selecting 4 letters from the word EXAM...

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  9. Find the total number of ways of selecting 5 letters from the word IN...

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  10. Find the number of combinations in the letters of the word STATISTICS ...

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  11. Find the number of permutations in the letters of the word PROPORTION ...

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  12. How many different numbers of 4 digits can be formed with the digits ...

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  13. From 4 apples , 5 oranges and 3 mangoes , how many selections of fruit...

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  14. In how many ways can one or more fruits be selected from 4 apples ,5 o...

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  15. Find the total number of combinations taking at least one green ball a...

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  16. How many different algebraic quantities can be formed by combining a,b...

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  17. There are n points in space , no four of which are in the same plane w...

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  18. n(1),n(2)andn(3) points are given on the sides BC ,CA and AB respecti...

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  19. A man has 7 relatives ,4 of them are ladies and 3 are gentlemen , his ...

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  20. Eighteen guests have to be seated , half on each side of a ling table ...

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