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The remainder when x=1! +2! +3! +4!...

The remainder when `x=1! +2! +3! +4! +. . . +100! ` is divided by 240 , is

A

153

B

33

C

73

D

187

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1A (PERMUTATIONS )
  1. Let an(10^n)/(n!) for 0 le n le 1 then the minimum value of n ...

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  2. IF n is an integer with 0 le n le 11 then the minimum value o...

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  3. The remainder when x=1! +2! +3! +4! +. . . +100! is divided ...

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  4. IF ""^nP6=42 ""^nP5 then n=

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  5. IF ""^((n+1))P(7)= 72 ""^nP5 then n=

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  6. IF ""^((2n-1))P(n-1) : ""^((2n-1))Pn = 3:5 then n=

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  7. IF ""^(n+5)P(n-1) = (11 (n-1))/(2)""^(n+3)Pnthen the value of n is

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  8. IF ""^(10)p r = 5040 then r=

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  9. IF ""^(15)P(r-1):""^(16)P(r-2) = 3 : 4 then r=

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  10. IF ""^(20)P(r):""^(20)P(r-1)=15 :1 then r=

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  11. IF ""^(12)P(r )=""^(11)P(6)+6^(11)P5, then r=

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  12. ""^(15)P(8)=A+8.""^(14)P(7 )implies A=

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  13. IF ""^((m+n))P(2) =90 ,""^((m-n))P(2) =30 then (m,n)=

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  14. A man has 3 sons and 6 schools within his reach . In how man...

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  15. The number of ways in which 3 prizes can be given away to 5 bo...

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  16. There are 50 stations on a railway line . How many different k...

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  17. The total number of signals that can be made with 7 different ...

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  18. How many permuations can be made using all the letters of the ...

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  19. The number of arrangements that can be formed by taking all the ...

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  20. The number of arrangements that can be formed by taking all the ...

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