Number of ways in which the letters of the word “ TOMATO” can be arranged if two alike vowels are separated, is not equal to:

Number of 3 digit numbers with at least one 3 and at least one 2.

Number of ways in which 2 alike apples and 4 alike oranges can be distributed in three children if each child one or more fruits.

Number of ways in which letters of the word “RAITHATHA” can be arranged if no two alike letters are separated.

Number of ways in which Ram and Rama can exchange their maps if Ram has 3 and Rama has 7 maps, all maps being different, maintaining their original number of maps at the end.