Let `p` be the sum of all possible determinabnts of order 2 having 0, 1, 2, & 3`\ a s` their four elements (without repetition of digits). The value of `' p '` is

The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is

Find the sum of all five digit numbers ,that can be formed using the digits 1, 2, 3, 4 and 5 (repetition of digits not allowed)

How many 3- digit even numbers are formed using the digits 0, 1, 2, …… 9, if the repetition of digit is not allowed ?

How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?

A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. Find the probability that the number is divisible by 4.

Let an denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let b_n = the number of such n-digit integers ending with digit 1 and c_n = the number of such n-digit integers ending with digit 0. The value of b_6 , is

How many four digit numbers divisible by 4 can be made with the digit 1, 2, 3, 4, 5, 6. If the repetition of the digit is not allowed ?

A five digit number is formed by the digit 1,2,3,4 and 5 without repetition. Find the probability that the number formed is divisible by 4.

A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways this can be done, is

How many 4-digit number can be formed with the digit 1, 2, 3, 4, 6 and 8 if repetition of digits is not allowed.