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Let f(n)=|nn+1n+2^n Pn^(n+1)P(n+1)^n Pn^...

Let `f(n)=|nn+1n+2^n P_n^(n+1)P_(n+1)^n P_n^n C_n^(n+1)C_(n+1)^(n+2)C_(n+2)|` , where the symbols have their usual meanings. Then `f(n)` is divisible by `n^2+n+1` b. `(n+1)!` c. `n !` d. none of these

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  3. Let f(n)=|nn+1n+2^n Pn^(n+1)P(n+1)^n Pn^n Cn^(n+1)C(n+1)^(n+2)C(n+2)| ...

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  4. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

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  9. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

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  10. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

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  15. If a ,b ,c are different, then the value of |[0,x^2-a, x^3-b],[ x^2+a,...

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  16. Prove that the value of each the following determinants is zero: |...

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