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In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women ?
The number of ways of selecting 4 men from 7 men is $$^7C_4 = 35$$
The number of ways of selecting 4 women from 8 women is $$^8C_4 = 70$$
Hence, the total number of ways is $$70 \times 35 = 2450$$
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