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Find the number of different 8-letter ar...

Find the number of different 8-letter arrangenients that can be made from the letters of the word DAUGHTER so that
all vowels occur together.

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JBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXAMPLE
  1. Find the number of different 8-letter arrangenients that can be made f...

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  2. A class has 30 students, In how many ways can three prizes be awarded ...

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  3. A class has 30 students, In how many ways can three prizes be awarded ...

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  4. A coin is tossed 3 times and the outcomes are recorded. How many possi...

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  5. How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4...

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  6. How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4...

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  7. How many 3-digit numbers are there without repetition?

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  8. If 1/(6!)+1/(7!)=x/(8!), find x

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  9. Show that (2n)!/n!=[1.3.5……………….(2n-1)]2^n.

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  10. How many 4-digit numbers are there with no digit repeated?

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  11. How many numbers are there between 1000 and 9999 so that no digit is r...

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  12. In how many ways can 5 girls be seated in a row so that two girls Ridh...

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  13. In how many ways can 5 girls be seated in a row so that two girls Ridh...

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  14. Find the number of permutations of the letters of word 'DISSIMILAR' wh...

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  15. If nC6=nC2, find ^nC2.

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  16. If 10Cr=^10C2 find the values of r.

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  17. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  18. In how many ways can a student choose a programme of 5 courses if 9 co...

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  19. How many chords can be drawn through 21 points on a circle?

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  20. Out of 18 points in a plane, no three are in the same straight line ex...

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