SOLUTION: in the expansion of (1+x)^n where n is a positive integer, and the binomial coefficients nCr=Cr. proove that C0+C1+C2+......Cn=2^n
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Question 1091388: in the expansion of (1+x)^n where n is a positive integer, and the binomial coefficients nCr=Cr. proove that C0+C1+C2+......Cn=2^n
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Substitute n = 1 and apply the formula of the Binomial expansion.
You will get what you need.
For details, see the lesson
- Remarkable identities for Binomial Coefficients
in this site.
--------------
On Binomial coefficients and their properties see the lessons
- Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion
- Remarkable identities for Binomial Coefficients
- The Pascal's triangle (*)
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic
"Binomial expansion, binomial coefficients, Pascal's triangle".
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