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0 votes
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in Mathematics by (63.3k points)

The coefficients of x15 in the product (1–x)(1–2x)(1–22x)..............(1–215x) is

(a)  2 105– 2121 

(b)  2 121–2105 

(c)  2 120–2104 

(d)  None of these

1 Answer

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Best answer

Correct option   (a)  2 105– 2121 

Explanation:

(1–x)(1–2x)(1–22x)..............(1–215x)

= (–1)16(x–1)(2x–1)(22x–1).................. (215x–1)

= 21 .22 .23 .......215(x - 1)(x - 1/2)(x - 1/22) ....(x - 1/215)

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