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How many words can be formed from the letters of the word, TRIANGLE? How many of these will begin with `T` and end with `E ?`

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For`'`TRIANGLE`'`there are 8 letters
if T and E fixed in starting than total possible ways will be`6!`
`6! =6*5*4*3*2*1=720` ways.
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  9. Compute: (20 !)/(18 !)

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  10. Compute: (10 !)/(6! 10 !)

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  11. Convert the following products into factorial: 6.7.8.9.10

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  13. Find the LCM of 4! 5! and 6!

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  15. Compute: (11 !-10 !)/(9!)

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  16. Prove that: 1/(9!)+1/(10 !)+1/(11 !)=(122)/(11 !)

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  17. Find\ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

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  18. Find\ x in each of the following: x/(10 !)=1/(8!)+1/(9!)

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  19. Find\ x in each of the following: 1/(6!)+1/(7!)=x/(8!)

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  20. Convert the following products into factorial: 5. 6. 7. 8. 9. 10

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