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

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

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JBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXAMPLE
  1. How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4...

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

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

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

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

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

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

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

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

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  10. If nC6=nC2, find ^nC2.

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

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

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

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

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

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

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

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  18. If (n!)/(2!(n-2)!):(n!)/(4!(n-4)!) =2:1. Find the value of n.

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  19. show that 2^16 divides 32!. also, find the largest value of n for whic...

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  20. What is the largest power of 2 contained in 32!.

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