Môn toán 150 bài toán nhị thức newton và xác suất

150 bài toán nhị thức newton và xác suất kèm đáp án chi tiết. Giúp ôn thi THPT quốc gia.= + − + − + ⋅⋅⋅⋅⋅⋅ + − − + 150 bài toán nhị thức newton và xác suất 150 bài toán nhị thức newton và xác suất 150 bài toán nhị thức newton và xác suất 150 bài toán nhị thức newton và xác suất

+ + ∀ ≠ ∀ ≠ + − = + = = − + − + + − + ⋅⋅⋅⋅⋅⋅ + + ⋅⋅⋅⋅⋅⋅ + + + − ⋅⋅⋅⋅⋅⋅ + − + = =− • − − = = ⇒ ( = + − ≤ ≤ − = ) − A,C ,P n k ⋅ − + ∀ ≠ ∀ > ⋅ − + + + ∀ > ( > ) n k = + ≠ ∀ + − ∀ ≠ + ∀ ≥ ≠ ∀ ≠ + = = − ∀ > = − + = > = − = ≠ − ∀ − − = = − − + + = = + = + + + + = − ∨ ∀ ≠ ∨ = = − − ∀ ≠ + > + = − ≠− − + − + () = − ≠ + − ∀ = = = = + + + + + + + − + − ∀ ≥ + − + + + ( )= ≠ − + ∀ > = =+ + − + − − − − ( ) − + ⋅ + ⋅⋅⋅⋅⋅⋅⋅ + + = + + − + + + − + ⋅⋅⋅⋅⋅⋅⋅ + + + + + + + + + + + = ⋅⋅⋅⋅⋅⋅ + = = + =− + + + + + ⋅⋅⋅⋅⋅⋅ + = − − + + + ⋅⋅⋅⋅⋅⋅ + + = − = ≥ =⇒ ⇒ = − ≥ + − + + = + + ⋅⋅⋅ + ∈ ∈ ( ∈ ≤ ≤ )⇒ + − − − + ⋅ • + + = = + = + + + + ++=⋅⋅⋅⋅⋅⋅ − + = + = = + + ⋅⋅⋅⋅⋅⋅ + + ⋅⋅⋅⋅⋅⋅ + + = + + = + + + + + + = + + + ⋅⋅⋅⋅⋅⋅ + + ⋅⋅⋅⋅⋅⋅ + ⋅⋅⋅ + + − = + = = + + ⋅⋅⋅⋅⋅⋅⋅ + + ⋅ + + ⋅⋅⋅⋅⋅⋅⋅ + = − + = ⋅ − = − ⋅ + ⋅⋅⋅⋅⋅⋅⋅ + + + + + = + = − ≤− − + + = + − + − ⋅⋅⋅⋅⋅⋅ + + − + ∈ + + − + + + − + + ⋅⋅⋅ + + = − + + + = + + + ⋅⋅⋅⋅⋅⋅⋅ − = − = = − + = + + ⋅⋅⋅⋅⋅⋅⋅ + + ⋅⋅⋅⋅⋅ + + + + = + + ⋅⋅⋅⋅⋅ + + + + + ⋅⋅⋅⋅⋅⋅⋅ + + = − − + + ∫ ⇔ =∫ + = − + − + ⋅ + ⋅⋅⋅⋅⋅⋅⋅ + ⋅⋅⋅⋅⋅⋅ + + − − + + − + ⋅⋅⋅⋅⋅⋅ + + + + + +− − − + − + ⋅⋅⋅⋅⋅⋅ + + + ⋅ − ⋅ = ⋅ + + − + = = = − = + − + + − + + + + ⋅ ⋅⋅⋅⋅⋅⋅⋅ + = ⋅ − + + ⋅ + =+ + ⋅ ⋅⋅⋅⋅⋅⋅⋅ = (+− ) + − + + −− + + +− ⋅⋅⋅⋅⋅⋅⋅+ ⋅⋅⋅⋅⋅⋅⋅⋅ − − ⋅ = + + + + + ⋅⋅⋅⋅⋅⋅ + + ⋅⋅⋅⋅⋅⋅ + ⋅ + − ⋅ − = − + ⋅ = + = = ⋅ + + ⋅⋅⋅⋅⋅⋅ − = + − + − ⋅− − + + = = + + + + + + ⋅⋅⋅⋅⋅⋅ + + + = + ⋅⋅⋅⋅⋅⋅⋅ + = = + − + = + > − ≠ − − − + = − > ⋅ ⋅ =⋅ ⋅ > − − − − − − − = + − + − ≠ ≠ ∈ + − − + + + − + + + + ⋅⋅⋅⋅⋅⋅ + + = + + + + + − − + = = + + ++ +=⋅⋅⋅⋅⋅⋅⋅⋅⋅ ∈ + + + = + + − + + = + = + + + ) + ⋅⋅⋅ + = − + ⋅⋅⋅⋅⋅⋅ + + + = ⋅⋅⋅ + = − + − = + + + + + ⋅⋅⋅⋅⋅⋅ + ⋅ + + ⋅⋅⋅⋅⋅⋅⋅⋅ + + + = − − + + + − ⋅⋅⋅⋅⋅⋅⋅⋅⋅ + + + = = − − − − = + +(−) − + ⋅⋅⋅⋅⋅⋅ + + = ⋅ + ⋅⋅⋅⋅⋅⋅ ⋅ ≤ ≤ − + − − + = = − + + + − + + ⋅⋅⋅⋅⋅⋅⋅⋅⋅ + + + + + − − = = = = − + + ⋅⋅⋅⋅⋅⋅⋅⋅⋅ + + − − + − + + + + ⋅⋅⋅⋅⋅⋅⋅⋅⋅ − ⋅⋅⋅⋅⋅⋅⋅⋅⋅+ + + ( ) + ( ) + ⋅⋅⋅⋅⋅⋅⋅⋅⋅ − + ( )+ ( ) = + = − ≥ + + } ⇔ ⇔ = { = = = − − ≤ ≤ − − = ≤ )⋅= Ω ⇒ ∪ = + − + { + + • ⇔ ( } ⇔ = ) ( ) ) ( )⇔( + + ) ( = ⋅ ⋅ = ⋅ = ⋅ ⋅ = ( )=