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BINOMIAL THEOREM — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSBINOMIAL THEOREM1 Mark
MCQ
Sum of the coefficients of $(1+x)^n$ is always a:
  • ✓
    An integer
  • B
    Positive integer
  • C
    Negative integer
  • D
    Zero
✓

Answer

Correct option: A.
An integer
  1. An integer
Solution:
To determine the sum of coefficients, we substitute $\mathrm{x}=1$ in the above expression.
Thus sum of coefficients $=(1+1)^n=2^n$
Hence, its a positive integer.

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