p & c

IIT JEE Discussion Forum › Algebra questions › p & c

find the number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together ?????

#Mathematics #Algebra

UP 0 DOWN 0 0 7
Post on FacebookPost anonymously?

7 Answers

1

big looser ......... ·2009-02-05 09:55:53

helppppppppppppppppp

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Subash ·2009-02-05 10:03:15

⁷C₃*(6!/2!)

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

big looser ......... ·2009-02-05 10:12:42

ya dude you are correct can you tell how to solve

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Subash ·2009-02-05 10:14:59

excluding the 5s there are 6 digits of which 2 are same

we can arrange them in (6!/2!) ways

and 6 things create 7 gaps

the 5s can be placed in these 7 gaps in⁷C₃ ways

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

big looser ......... ·2009-02-05 10:20:21

wat does it mean 6 things create 7 gaps

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Subash ·2009-02-05 10:36:21

* 1 * 1 * 1 * 1 * 1 * 1*

see ive typed six ones the number of gaps between them will be ...

shown by the astrixes hope u got it now

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

big looser ......... ·2009-02-05 11:04:27

thanks bro

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω