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Mathematics, 23.05.2021 18:00 mackenzie112068

There are n boys and m girls scouts. If two boy scouts and two girl scouts are chosen, the number of combinations is 160 and the total number of scouts is 26. Calculate the value of n and m if n > m. |
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I have gotten the answers for this question but I couldn't get why nC2 × mC2 = 26 is wrong instead of nC2 + mC2 = 26?​

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