Answer:
Therefore, there are approximately 2.02 x 10^42 different teams that can be made from 1010 boys and 88 girls, where each team consists of 33 boys and 44 girls.
Explanation:
To determine the number of different teams that can be made from 1010 boys and 88 girls, with each team consisting of 33 boys and 44 girls, we can use combinations. First, let's calculate the number of ways we can select 33 boys from 1010 boys. We use the combination formula, which is denoted as "nCr" or "C(n, r)": C(1010, 33) = 1010! / (33!(1010-33)!) = (1010! / 33!77!) Similarly, let's calculate the number of ways we can select 44 girls from 88 girls: C(88, 44) = 88! / (44!(88-44)!) = (88! / 44!44!) Since each team consists of 33 boys and 44 girls, we multiply the number of ways to select boys and girls together: C(1010, 33) * C(88, 44) = (1010! / 33!77!) * (88! / 44!44!) To find the total number of different teams, we calculate the product of the combinations: C(1010, 33) * C(88, 44) = 2,017,001,567,672,546,595,004,062,976,000