Five-digit numbers are formed using the digits without repetition
MATHEMATICS · Multi-part · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
Five-digit numbers are formed using the digits 1,2,3,4,5,6,7 without repetition. One such number is chosen at random. Answer the following questions:
(i) How many distinct five-digit numbers can be formed in this way?
(ii) Find the probability that the number chosen is even.
(iii) Find the probability that the digits of the number are in strictly increasing order (for example, 13456).
(iv) Find the probability that the number is even and its digits are in strictly increasing order.