Add:

(21) −10, +10

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Solution

We have to compute (–10) + (+10).
Since both the numbers have the same magnitude, subtraction of their magnitudes, 10 – 10 will give 0.
As 0 does not have a positive or negative sign, the result of the addition is 0.

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(^{21} C_{1} -^{10} C_{1}) + (^{21} C_{2} -^{10} C_{2}) + (^{21} C_{3} -^{10} C_{3}) + (^{21} C_{4} +^{10} C_{4}) + . . . . . . + (^{21} C_{10} -^{10} C_{10})

(^{21} C_{1} -^{10} C_{1}) + (^{21} C_{2} -^{10} C_{2}) + (^{21} C_{3} -^{10} C_{3}) + (^{21} C_{4} -^{10} C_{4}) + . . . + (^{21} C_{10} -^{10} C_{10})

(- 10) - 10

(^{21} C_{1} -^{10} C_{1}) + (^{21} C_{2} -^{10} C_{2}) + (^{21} C_{3} -^{10} C_{3}) + (^{21} C_{4} -^{10} C_{4}) + \dots + (^{21} C_{10} -^{10} C_{10})

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