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  4. 9 students of class 12 text th of whom 2 from section A, 3 from section B and 4 from section C are available for inter school debate competition. Number of ways in which 4 students can be selected so that there is atleast 1 from each section, is

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Q. 9 students of class $12^{\text {th }}$ of whom 2 from section A, 3 from section B and 4 from section C are available for inter school debate competition. Number of ways in which 4 students can be selected so that there is atleast 1 from each section, is

Permutations and Combinations

Solution:

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Hence ${ }^2 C _1 \cdot{ }^3 C _1 \cdot{ }^4 C _2+{ }^2 C _1 \cdot{ }^3 C _2 \cdot{ }^4 C _1+{ }^2 C _2 \cdot{ }^3 C _1 \cdot{ }^4 C _1$
$=36+24+12=72$