The number of ways in which the word PARALLEL is arranged so that both A's are together and no two L are together is

The number of ways in which the letters of the word 'ARRANGE' can be arranged so that two A's are together is

The number of ways in which the letters of the word ARRANGE be arranged so that (i) the two R's are never together, (ii) the two A's are together but not two R's. (iii) neither two A's nor two R's are together.

The number of ways in which the letters of the word ARRANGE be arranged so that (i)the two R are never together,(ii) the two As are together but hot two Rs.(iii)Neither two As nor two Rs are together.

The number of ways in which letter of the word '"ARRANGE"' can be arranged, such that no two R's are together, is

The number of ways in which the letters of 'ARRANGE' be arranged so thati) No two R' 's come together is

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no of two I's are together and letters S and I are never together is