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A school wants to award its students for...

A school wants to award its students for their achievement in Sport, Music and Literature with a total cash prize of Rs6000.
Three times the prize money for Literature added to the prize money given for Sports is equal to Rs 11000.
The prize money given for Sports and Literature together is equal to two times of the prize money given for Music .
If x, y and Z represent the prize money given for Sports , Music and Literature respectively , then :
Consider A = `{:((1,1,1),(1,0,3),(1,-2,1)):}`
Then the value of |A|is :

A

3

B

6

C

4

D

`-1`

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