probability that the product of n integers is divisible by 2[p]m[/p]?

JEE Main Questions › Question Of the Day questions › probability that the product of n integers is divisible by 2[p]m[/p]?

Now that we have solved the probability of product of 2 integers being a multiple of 2ⁿ

can we generalize this to

probability that the product of n integers is divisible by 2^m?

#Miscellaneous #Question Of the Day

UP 0 DOWN 0 1 7
Post on FacebookPost anonymously?

7 Answers

39

Dr.House ·2009-03-05 06:17:24

isko kya hua?

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-03-07 08:01:10

No one solving this! :(

Trust me this is not an olympiad level question if you have understood the question of 2 numbers with product 2^n!

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-03-10 22:27:26

[12][12][12]

UP 0 DOWN 0
Post on FacebookPost anonymously?

13

deepanshu001 agarwal ·2009-03-16 05:02:22

help me out wid d probability dat product of 2 no ,s is divisible by 2^n

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-03-16 05:15:36

Deepanshu check this one:

[url=http://targetiit.com/iit_jee_forum/posts/20_02_09_divisible_by_8_2739.html]Divisibility by 8[/url]

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-04-15 20:31:18

now you guys can try this one too :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2010-11-12 03:03:47

old one if someone is ready to try?

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