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Maths-

General

Easy

Question

If $C subscript r end subscript equals 32 C subscript r end subscript$ , then $not stretchy sum subscript r equals 0 end subscript superscript 5 end superscript C subscript 6 r end subscript equals$

$\frac{1}{6} (2^{32} - 3^{16} - 1)$
$\frac{1}{6} (2^{32} + 3^{16} - 1)$
$\frac{1}{6} (2^{32} - 3^{16} + 1)$
$\frac{1}{6} (2^{32} + 3^{16})$

The correct answer is: $fraction numerator 1 over denominator 6 end fraction left parenthesis 2 to the power of 32 end exponent minus 3 to the power of 16 end exponent minus 1 right parenthesis$

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$bullet$ If $C subscript r end subscript equals to the power of 30 end exponent C subscript r end subscript$ , then $C subscript 0 end subscript plus C subscript 4 end subscript plus C subscript 8 end subscript plus$ $plus C subscript 28 end subscript equals$

$bullet$ If $C subscript r end subscript equals to the power of 30 end exponent C subscript r end subscript$ , then $C subscript 0 end subscript plus C subscript 4 end subscript plus C subscript 8 end subscript plus$ $plus C subscript 28 end subscript equals$

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The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
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Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is $10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent$
II. The strain is $10 to the power of negative 3 end exponent$
III. The energy stored in the wire when the load is applied is 10 J

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Area of cross-section of wire $10 to the power of negative 6 end exponent m to the power of 2 end exponent$
Extensional of wire $2 cross times 10 to the power of negative 9 end exponent m$
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is $10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent$
II. The strain is $10 to the power of negative 3 end exponent$
III. The energy stored in the wire when the load is applied is 10 J

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