Maharashtra State BoardHSC Science (General) 11th
Advertisement Remove all ads

Show That C1 + C2 + C3 + .... C6 = 63 - Mathematics and Statistics

Sum

Show That C1 + C2 + C3 + .... C6 = 63

Advertisement Remove all ads

Solution

Since C0 + C1 + C2 + C3 + …… + Cn = 2n

Puting n = 6, we get

C0 + C1 + C2 + …… + C6 = 26

∴ C0 + C1 + C2 + …… + C6 = 64

But, C0 = 1

∴ 1 + C1 + C2 + …… + C6 = 64

∴ C1 + C2 + …… + C6 = 64 – 1 = 63

Concept: Binomial Coefficients
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Methods of Induction and Binomial Theorem
Exercise 4.5 | Q 4 | Page 84
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×