The number of different 6-digit numbers in which only and all the five digits $$1,3,5,7$$ and 9 appear is

The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is

The number of different seven-digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

The maximum number of points of intersection of 10 circles is :

The number of numbers divisible by 3 that can be formed by four different even digits is

How many three digit number satisfy the property that the middle digit is arithmetic mean of the first and the last digit.

If 4 dice are rolled, then the number of ways of getting the sum 10 is