Find the value of 10C0 +10C1 + 10C2+.......+10C10

= {10!/0!(10-0)!} + { 10!/1! (10-1)! } + ..........{ 10!/10!(10-10)! }
= 1 + 10 + 45 + 120 + 210 + 252 + 210 + 120 + 45 + 10 + 1
= 1024
  • 5
sum of first n coefficient in binomial expansion is equal to (2^n)
so 2^10 = 1024
  • 5
=1024
  • 1
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