In how many different ways can the letters of the word $TABLE$ be arranged?

From $6$ different novels and $3$ different dictionaries,$4$ novels and $1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

In how many ways can $6$ persons be selected from $4$ officers and $8$ constables,if at least one officer is to be included?

The number of ways in which $35$ apples can be distributed among $3$ boys so that each can have any number of apples,is

In a club election,the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote is $62$,then the number of candidates is:

Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is