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Permutations And Combinations

Question
CBSEENMA11014194

If space space straight C presuperscript 10 subscript straight r space equals space straight C presuperscript 10 subscript 2 comma find the values of r.

Solution
straight C presuperscript 10 subscript straight r space equals space straight C presuperscript 10 subscript 2
rightwards double arrow     r = 2
Also,  straight C presuperscript 10 subscript straight r space equals space straight C presuperscript 10 subscript 2 space equals space straight C presuperscript 10 subscript 10 minus 2 end subscript
rightwards double arrow          straight C presuperscript 10 subscript straight r space equals space straight C presuperscript 10 subscript 8
rightwards double arrow              r = 8
Hence, r = 2  or 8

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