The number of terms in the expansion of (1 + x)^ 101 (1 - x + x^2 )^ 100 in powers of x is

JEE Main 2014 Mathematics question

The number of terms in the expansion of in powers of x is

Answer: (4)

Pair one factor of with the second bracket: . So the product is . The expansion of has 101

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Question ID VK-104411