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PIMSO 2025 - Mathematics - Senior Secondary - National Round Question 25

PIMSO Maths · PIMSO 2025 - Mathematics - Senior Secondary - National Round

Question 25

A typical n-set is $A=\{a_1,a_2,a_3,\ldots,a_n\}$, where n is a natural number. How many subsets of A do not contain the element $a_n$?
  1. $2^n$
  2. $2^{n-1}$
  3. $2^{n-1}-n$
  4. $n-1$