esc01720mustacmw esc01720mustacmw
  • 04-05-2021
  • Mathematics
contestada

Prove that (n-1, r)+(n, r-1)=(n,r)
​

Respuesta :

Аноним Аноним
  • 04-05-2021

Answer:

[tex] \binom{n - 1}{r} + \binom{n}{r - 1} = \binom{n}{r} \\( n - 1) + n = n \\ n - 1 = 0 \\ n = 1 \\ r + (r - 1) = r \\ r = 1 \\ \binom{0}{1} + \binom{1}{0} = \binom{1}{1}[/tex]

Answer Link

Otras preguntas

HELP ME!!!!!!!!! Which verb form agrees with the subject and correctly completes the sentence? Firemen __________ dozens of cats each year. A. rescue B. rescu
A parking garage charges $3.50 per hour to park. The function rule: c = 3.5h shows how the number of hours h relates to the parking charge c. Graph the function
what is 7/21 in its simplest form
Ningun estudiante ______ la pregunta
how do you simplify 42/63
Which is more, 5,280 feet or 1 mile?
Lea wants to put a fence around her garden .Her garden measures 14 feet by 15 feet .She has 50 feet of fencing .How many more feet of fencing does Lea need to p
Music historians believe that the folk music that grew in the Appalachian Mountains area in the 1800s was some of the first music that was distinctly American.
15 less than half a number
Chromium, calcium, and potassium are near each other on the periodic table and have some common characteristics but differ in chemical reactivity. Which lists t