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Curated by: Khan Academy India - English (21 videos)
In this video, we solve two problems of forming groups with given constraints on selections. We realise that we need to consider all possible cases which are satisfied by the constraint and add the number of ways for each of them. For the first one, we form teams of boys and girls for three different scenarios - the team has no girls, has at least one boy and one girl, and has at least three girls. For the second one, the constraints are - exactly 3 girls, at least 3 girls, and at most 3 girls. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:permutations-and-combinations-ncert-new/xea4762213f311c5e:untitled-896/e/fundamental-counting-principle) Timestamps: 0:00 Problem 1 - Forming the team with boys and girls 0:40 Constraint - the team has no girls 1:40 Constraint - At least one boy and one girl 4:20 Constraint - At least three girls 4:47 Problem 2 - Forming the committe with boys and girls 8:30 Constraint - exactly 3 girls 8:35 Constraint - at least 3 girls 8:42 Constraint - at most 3 girls Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta