In the word INSPIRATIONAL we treat vowelsIIAIOA as one letter. Thus, we have NSPRTNL (IIAIOA) Now we have to arrange 8 letters, out of whichN appears twice. The number of ways of arranging these letters =
7!
2!
= 20160 The number of ways of arranging the vowelswhich together are considered as one letter =
6!
3!×2!
= 60 ∴ Reqd number of ways = 20160 × 60 = 1209600