Concept: The question tests on the application of counting.
M U L T I P L E has 8 letters, with 5 consonants (L repeated twice) and 3 Vowels.
U I and E should not change their order, but can change positions. 3 positions can be chosen out of 8 in 8C3 = 56 ways
The remaining 5 consonants can be arranged in 5!/2! = 5 * 4 * 3 = 60 ways
The total number of ways = 56 * 60 = 3360