In how many different ways can the letters of "SUNDAY" be arranged?
How many of these arrangements begin with an "S"?
How many begin with "S" but do not end with a vowel?
+128408 Arrangements = 6! = 720
Arrangements beginning with "S" = 5! = 120 (1)
Arrangements starting with "S" and ending in a vowel =
S _ _ _ _ A = 4! = 24
S _ _ _ _ U = 4! = 24
____
48 (2)
So arangements starting with "S" and not ending in a vowel = (1) - (2) = 120 - 48 = 72
