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Select the correct answers from the given alternatives. In the expansion of (x2 −2x)10, the coefficient of x16 is - Mathematics and Statistics

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प्रश्न

Select the correct answer from the given alternatives.

In the expansion of (x2 − 2x)10, the coefficient of x16 is

विकल्प

  • −1680

  • 1680

  • 3360

  • 6720

MCQ

उत्तर

3360

Explanation:

(x2 – 2x)10 = x10 (x – 2)10

To get coefficient of x16 in (x2 – 2x)10,

we check coefficient of x6 in (x – 2)10

Required coefficient = 10C6 (– 2)4 = 210 × 16

= 3360

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General Term in Expansion of (a + b)n
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Methods of Induction and Binomial Theorem - Miscellaneous Exercise 4.1 [पृष्ठ ८५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 4 Methods of Induction and Binomial Theorem
Miscellaneous Exercise 4.1 | Q I. (3) | पृष्ठ ८५

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