Question 1: Two dinner tables each hold eight people. In how many ways can a group of eight men and eight women divide themselsves so that there are equal number of men and women at each table?

Question 2: How many even numbers greater than 60, 000 can be formed with the digits {4, 5, 6, 7, 8} without repetitions?

Question 3: In how many ways is it possible to select seven letters including at least one I fom the word ILLUMINATI?