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Which one of the following is an elementary symmetric function

Question

Which one of the following is an elementary symmetric function of $x_{1}, x_{2}, x_{3}, x_{4}$ .

x_{1} x_{2} x_{3} + x_{2} x_{3} x_{4}

x_{1} x_{2} + x_{2} x_{3} + x_{3} x_{1}

x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2}

x_{1} x_{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{3} + x_{2} x_{4} + x_{3} x_{4}

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Which one of the following is an elementary symmetric function of

x_{1}, x_{2}, x_{3}, x_{4}

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Text solutionVerified

Numbers of elements of is

{x_{1}, x_{2}, x_{3}, x_{4}}

∴ n (A) = 4

∴

Number of elementary functions is given by

^{4} c_{2} = 6

Hence, option 'D' is correct.

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Question Text	Which one of the following is an elementary symmetric function of $x_{1}, x_{2}, x_{3}, x_{4}$ .
Answer Type	Text solution:1
Upvotes	150