Permutation Aur Combination Ko Samajhne Ka Aasan Tarika

 Kya permutation aur combination ke sawaal exam mein mushkil lagte hain? Chinta mat karo! Aaj main tumhe permutation aur combination ka ekdum aasan tarika bataungi.

Permutation Aur Combination Mein Fark

Sabse pehle yeh samjho:

Permutation — Jab order matter karta hai

Combination — Jab order matter nahi karta

Real Life Example Se Samjho

Maano 3 dost hain — Ram, Shyam aur Mohan. Inhe ek line mein khada karna hai.

Permutation — Ram, Shyam, Mohan alag hoga Shyam, Ram, Mohan se — order matter karta hai.

Combination — Agar teen mein se 2 dosto ko choose karna ho — Ram Shyam choose karna aur Shyam Ram choose karna same hai — order matter nahi karta.

Permutation Ka Formula

nPr = n! / (n-r)!

Jahan:

n — Total chizein

r — Kitni choose karni hain

! — Factorial matlab 5! = 5×4×3×2×1

Combination Ka Formula

nCr = n! / (r! × (n-r)!)

Example Se Samjho

5 logon mein se 2 ko choose karna hai — kitne tarike hain?

Combination = 5C2 = 5! / (2! × 3!)

= (5×4×3×2×1) / (2×1 × 3×2×1)

= 120 / 12

= 10 tarike

Yaad Rakhne Ka Aasan Tarika

Permutation — Password banana — 1234 aur 4321 alag hote hain — order matter karta hai.

Combination — Pizza toppings choose karna — cheese aur tomato ya tomato aur cheese — same hai — order matter nahi karta.

Practice Ka Tarika

Roz 3-4 permutation aur combination ke sawaal solve karo. Pehle decide karo order matter karta hai ya nahi — phir formula lagao. Step by step karne se aasan lagega.

Toh dosto, yeh tha permutation aur combination ka aasan tarika. Dono ka fark yaad rakho aur roz practice karo — exam mein zaroor kaam aayega. Agar yeh article helpful laga to comment mein batao aur doston ke saath share karo.