Permutation vs combination: choosing 2 of X, Y, Zक्रमचय बनाम संचय: X, Y, Z में से 2 चुननाPermutation vs combination: choosing 2 of X, Y, Z

Section 6.4 · Class 11 Maths Ch 6 · interactive diagram

Parts and what they mean

• Permutations: ³P₂ = 6 (क्रमचय: ³P₂ = 6) — Arrangements — XY and YX are different (e.g. captain and vice-captain).
• Each ordered arrangement (हर क्रमित व्यवस्था) — Two arrangements (like XY, YX) use the same two people.
• Combinations: ³C₂ = 3 (संचय: ³C₂ = 3) — Selections — the team {X, Y} is the same as {Y, X}.
• Each selection (हर चयन) — Each selection of 2 can be arranged in 2! = 2 ways.
• ⁿPᵣ = ⁿCᵣ × r! (ⁿPᵣ = ⁿCᵣ × r!) — Choose r things, then arrange them in r! ways.

Original diagram drawn by Simple Learning Hub for NCERT Class 11 Maths Ch 6. Report a mistake