Out of 8 students in a classroom, 4 of them are chosen and they are arranged around a table.

If the remaining 4 are arranged in a row, then the total number of arrangements that can be made with those 8 students is

Three letters are chosen at random from the letters of the word VARIABLE and all possible three letter words (with or without meaning) are formed with them.

Then, the probability of getting a three letter word having a consonent as its middle letter is

If ${ }^{27} P_{r+7}=7722{ }^{25} P_{(r+4)}$, then $r=$

If the number of diagonals of a regular polygon is 35 , then the number of sides of the polygon is