In how many ways can three couples be seated at a round table, so that men and women sit alternately? Seven flags are to be flown on seven poles: 3 flags are red, 2 are white, and 2 are blue,. How man...In how many ways can three couples be seated at a round table, so that men and women sit alternately? Seven flags are to be flown on seven poles: 3 flags are red, 2 are white, and 2 are blue,. How many different arrangements are possible? How many different ways can 3 pennies, 2 nickels and 5 dimes be arranged in a row? If a team plays ten games, how many different ways can the team have a winning season?