# Some Properties of Binomial Coefficients

The coefficients are called binomial coefficients and we can write them as

i.e: Sum of the binomial coefficients of odd terms = Sum of the binomial coefficients of even terms

=

**Example 1:**

Find the sum of all the binomial coefficients in the expansion of

**Solution:**

**Example 2:**

Find the sum of alternate binomial coefficients in

**Solution:**