counting method

Question

How many 5-letter permutations of the letters of the word manuscript begin with A, end in I and otherwise contain only consonants (with no repetitions of letters)?

Answer 1

A _ _ _ I  allows for 3 blanks to be filled in with any of these: M N S C R P T (w/o repetition).

 

That's 7P3 possible permutation, i.e. 7(6)(5) = 210 possibilities.