It depends how you define "pair"; and if some of the boys and girls are identical (twins/triplets/etc)
If you mean two people then there are 17 choices for the first (10 boys + 7 girls), 16 (10 boys + 7 girls less the one chosen so far) for the second giving: 17 × 16 = 272 pairs
If you mean a pair containing one boy and one girl, then there are a choice of 10 boys and for each choice a choice of 7 girls, giving: 10 × 7 = 70 pairs.
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She can select 210 different groups of boys and 1820 different groups of girls giving, wait for it, 382200 possible casts!
7:6 (girls to boys)
The probability is 15/25 = 3/5
If there are 125 boys and 25 girls, then the ratio of boys to girls would be 5:1.
No. of boys is 8oooand no. of girls is 5000