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Out of 9 outstanding students in a college, there are 4 boys and 5 girls. A team of four students is to be selected for a quiz programme. Find the probability that two are boys and two are girls.

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To solve the problem of finding the probability that a team of four students consists of two boys and two girls from a group of 4 boys and 5 girls, we can follow these steps: ### Step 1: Determine the total number of ways to select 4 students from 9. The total number of students is 9 (4 boys + 5 girls). We can calculate the total number of ways to choose 4 students from these 9 using the combination formula: \[ \text{Total ways} = \binom{9}{4} \] ...
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