Multiple choice general knowledge math & puzzles

A sultan has 14 daughters. He decides to tell every night four of his daughtes a fairy tale, but in such a way that every night, there will be another combination of four daughters. How many nights will keep the sultan busy telling fairy tales?

  1. 993

  2. 990

  3. 1001

  4. 1455
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is a combination problem: C(14,4) = 14!/(4!×10!) = (14×13×12×11)/(4×3×2×1) = 24024/24 = 1001. The Sultan tells stories to a different group of 4 daughters each night, and there are exactly 1001 unique combinations.

Keep practicing — related questions