sferguson sferguson
  • 23-06-2017
  • Mathematics
contestada

Give an algebraic proof that 2n choose 2 = 2 (n choose 2) +n^2

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-06-2017
[tex]\dbinom{2n}2=\dfrac{(2n!)}{2!(2n-2)!}=\dfrac{2n(2n-1)}2=n(2n-1)=2n^2-n[/tex]

[tex]2\dbinom n2+n^2=2\dfrac{n!}{2!(n-2)!}+n^2=n(n-1)+n^2=2n^2-n[/tex]
Answer Link

Otras preguntas

what is a drug cartel
Having food in the stomach __________ the rate at which a person's BAL rises.
A car dealer wants to draw a Pie Graph representing the different types of cars he sold in a given month. He sold a total of 90 this month with 15 of those cars
2.Which of the following is strongest acid?a. H2SO4b. H3PO4c. HNO3d. HClO4​
A two-headed muscle (part of hamstring) a. Vastus lateralis b. Biceps femoris
digits to write the value of the 5 in this number.587,096​
Will mark brainlist A line has a slope of 5 and a y-intercept of 0 Which is the equation of the line?​
A broad, flat muscle of lower back a. Adductor magnus b. Latissimus dorsi
The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraffes, and 22 monkeys. The carnival
Which of the following might cause chronic hemorrhagic anemia? A) Iron deficiency in the diet B) Decreased EPO production C) A bleeding ulcer D) Sickle-cell ane