Multiple choice general knowledge

A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time) ?

  1. 16

  2. 15

  3. 12

  4. 11

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

With 4 different coins, each coin can either be included or excluded from a sum (2 choices per coin). This gives 2^4 = 16 total combinations. However, using 'one or more coins' means excluding the case where no coins are selected, so 16 - 1 = 15 different sums can be formed.