Question

From the word 'SAVIOR' Determine how many letter arrangements are possible given the following conditions.
____a. all six letter are to be used with no restriction
____b.all vowels and consonants are together.
____c.all six letter are to used S in the first position and R in the last position

Answer 1

first one is
\[6!=6\times 5\times 4\times 3\times2\]

Answer 2

second one is
\[3!\times 3!\times 2\]

Answer 3

three consonants first has 6 possibilities and three vowels second has 6 possibilities, and same for three consonants second and three vowels first

Answer 4

S in the first, R in the last leave 4! possibilities