Permutation & Combination Using Visual Tools

Apply the fundamental principle of counting with and/or rules to solve probability, permutation, and combination problems through practical examples such as locks, outfits, and letter arrangements.

explain how factorials are defined as multiplying down from n to 1, with examples, and show key rules like n! = n times (n-1)! and zero factorial equals 1.

Explore permutation with non-distinct objects and learn to adjust counts by dividing by factorials for repeating letters, including indistinguishable color boxes.

Learn to solve permutation problems with special cases by forming blocks (such as vowels) and counting with repeats, using visual tools and logic-driven reasoning.

Explore circular permutation and its relation to normal permutation, learn to fix a seat to avoid rotations, and apply the n-1 factorial rule to seating around a round table.

Explore basic permutation and combination using visual tools, solving examples from seven-letter word arrangements, coin toss outcomes, and digit arrangements with even and distinct digits.

Explore medium level permutation and combination problems using visual tools, including consecutive green balls in boxes, letter blocks, and seating arrangements.

Master higher level permutation and combination using visual tools with practice on divisibility, circular seating, and summing permutations through structured counting techniques.

apply the basics of combination and permutation, recognize when order matters, use nCr to count groups and handshakes, and solve circle chords examples.

Explore the different cases of combination using the n choose r formula, including r = n and r = 0, with examples ten choose six equals ten choose four.

Master basic problems on combination using the C(n, r) formula and factorials, with dual approaches and foundational concepts to strengthen your understanding of permutation and combination.

Learn higher level combination problems using visual tools, including selecting courses with compulsory subjects, arranging nonadjacent batteries, and case-based selection of committees and exams.

Explore how permutation and combination combine, with emphasis on when order matters, and solve problems using both concepts for selection and arrangement.

Master permutation and combination with animation and visual tools that explain concepts from basic to advanced, and share your feedback to help improve future courses.