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

The result of the Battle of Bunker Hill was a/an A. unqualified British victory. B. narrow victory for the Americans. C. clear victory for the Americans. D. inc
what led the colonies to break ties with england?
which of the following describes "reserved powers"? A) they are determined only by the president. B) they are shared by the states and nation. C) they belong to
Which idea from the Enlightenment was used in the Declaration of Independence? A.Revolution leaders should explain their ideas to the world. B.Science can answe
To what extent was colonial America a land of opportunity
what is the decimal form of -4 7/8
Who controlled the city of Venice before the unification of Italy? A. Kingdom of the Two Sicilies B. Austrian Empire C. Papal States D. Kingdom of Sardinia
What Is 3 Over 4 Plus 7 Over 8 Plus 5 Over 6 ? Please Help
This famous hotel magnate was born December 25, 1887?
The Buddha's first dharma talk covered A. The rig Veda B. The 5 pillars C. The ten commandments D. The four noble truths and eightfold path