Use a generating function and a mathematical computing package to determine thenumber of positive integers less than 1 million (1 000 000) that contain an odd number of evendigits, at most one 1, at least one 3, at most two 5s, and having no restrictions on the numberof 7s or 9s.

How many 7-digit even numbers less than 3 000 000 can be formed using all the digits1, 2, 2, 3, 5, 5, 6 ?

How many 3-digit positive integers exist whose digits add up to give an even number

How many numbers can be formed using all the digits 1, 2, 3, 4, 3, 2, 1 such that even digits alwaysoccupy even plac

How many different 3-digit even numbers can be formed so that all the digit are different?

Which even number comes the least number of times in the sequence given below?6 2 7 5 6 1 3 6 5 2 7 8 2 5 8 2