Cards numbered 1 to 10 are placed face down on a table
MATHEMATICS · Multi-part · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
Cards numbered 1 to 10 are placed face down on a table. Three different cards are drawn one after another without replacement.
(i) How many distinct unordered triples of numbers can be obtained?
(ii) How many of these triples form an arithmetic progression?
(iii) Hence compute the probability that the three numbers drawn are in arithmetic progression.
(iv) Calculate the probability that the three numbers drawn form a geometric progression.