The numbers 1, 2, 3, ..., `n` are arrange in a random order. The probability that the digits 1, 2, 3, .., `k( k < n)` appear as neighbours in that order is

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

Seven digits from the numbers 1 to 9 are written in random order. If the probability that this seven digit number divisible by 9 is p, then the value of 18p is

A bag contains 30 tickets numbered from 1 to 30 . Five tickets are drawn at random and arranged in ascending order . Find the probability that the third number is 20. (ii) a bag contains 50 tickets numbered 1,2,3 ……, 50 of which five are drawn at random and arranged in ascending order of magnitude (x_(1)ltx_(2)ltx_(3)ltx_(4)ltx_(5)) . What is the probability that x_(3)=30 .?

The digits 1,2,3,4,5,6,7,8 and 9 are written in random order to form a nine digit number. The probability that this number is divisible by 4, is

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 then, the probability that the digit is a multiple of 3 is (a) 1/3 (b) 2/3 (c) 1/9 (d) 2/9

If four whole numbers taken at random are multiplied together, then find the probability that the last digit in the product is 1,3,7 or 9.

A five-digit number is written down at random. The probability that the number is divisible by 5 and no two consecutive digits are Identical is a. 1/5 b. 1/5(9/(10))^3 c. (3/5)^4 d. none of these

Three-digit numbers are formed using the digits 0,1, 2, 3, 4, 5 without repetition of digits. If a number is chosen at random, then the probability that the digits either increase or decrease, is

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is