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8 woman and 6 man are standing in a li...

8 woman and 6 man are standing in a line.
(i) How many arrangements are possible if any individual can stand in any position ?
(ii) In how may arrangements will be 6 men be standing next to one another ?
(iii) In how many arrangements will no two men be standing next to one another ?

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FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.2
  1. If .^(n-1) P(3) : P(4) = 1 , 10 find n.

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  2. IF .^(10) P(r-1) = 2xx 6P(r^(2)) find r

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  3. Suppose 8 people enter an event in a swimming meet. In how many ways c...

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  4. Determine the number of permutations of the letters of the word SIMPL...

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  5. A test consists of 10 multiple choice questions . In how many ways ...

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  6. A student appears in an objective test which contain 5 multiple choi...

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  7. How many strings can be formed from the letters of the word ARTICLE,...

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  8. 8 woman and 6 man are standing in a line. (i) How many arrangement...

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  9. Find the distinct permutations of the letters or the word MISSISSIPP...

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  10. How many ways can the product a^(2) b^(3) c^(4) be expressed witho...

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  11. In how many ways 4 mathematics books , 3 physics books, 2 chemistry...

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  12. In how many ways can the letters of the word SUCCESS be arranged ...

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  13. A coin is tossed 8 times. (i) How many different sequences of ...

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  14. How many strings are there using the letters of the word INTERMEDIATE,...

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  15. If the letters of the word GARDEN are permuted in all possible ways an...

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  16. Find the number of strings that can be made using all letters of th...

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  17. if the letters of the word FUNNY are permuted in all possible ways a...

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  18. Find the sum of all 4-digit numbers that can be formed using digits 1,...

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  19. Find the sum of all 4-digit numbers that can be formed using digits 0,...

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