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If alpha, beta, gamma are the roots of ...

If `alpha, beta, gamma ` are the roots of the equation `x^(3) - 6x^(2) + 11x - 6 = 0` and if a = `alpha^(2) + beta^(2) + gamma^(2)`, b = `alpha beta + beta gamma + gamma alpha` and c =` (alpha + beta) (beta + gamma)(gamma + alpha),` then the correct inequality among the following is :

A

`a lt b lt c `

B

b `lt a lt c `

C

`b lt c lt a `

D

`c lt a lt b `

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