?

Combinatorics

Free Version

Upgrade subject to access all content

Easy

Sum of Binomial Coefficients

COMBIN-YGBLOQ

What is the value of the sum:

$${12\choose 1} + {12\choose 2} + {12\choose 3} + \cdots+ {12\choose 12}\,?$$

A

$1024$

B

$2047$

C

$2048$

D

$4096$

E

$4097$