Jawab:

The total number of teams that can be chosen from 4 girls and 6 boys is 10 choose 2, or 45. This is the number of teams that we would have if there were no requirement that the team must contain at least 2 girls.

To find the number of teams that contain at least 2 girls, we can subtract the number of teams with no girls and the number of teams with exactly 1 girl.

The number of teams with no girls is the number of teams that can be chosen from the 6 boys, which is 6 choose 2, or 15.

The number of teams with exactly 1 girl is the number of ways to choose 1 girl from the 4 girls and 1 boy from the 6 boys, which is 4 choose 1 * 6 choose 1, or 24.

Therefore, the number of teams that contain at least 2 girls is:

45 - 15 - 24 = 6

So there are 6 different teams that may be chosen.

Penjelasan dengan langkah-langkah:

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