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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Sum of all coefficients in (x+y)n is:

Answer: 2n.

  • A 2n
  • B n!
  • C n²
  • D 2n-1

Correct answer: A. 2n

Explanation: Set x=y=1: (1+1)n = 2n. Sum of all binomial coefficients = 2n.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

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