Question

The letters of the word COMBINE are placed at random in a row.

In how many ways can an arrangement occur such that all vowels are placed together?

Answer 1

Combine has 7 letters in total so we just need to multiply

7x6x5x4x3x2x1 = 5040

So Combine can be placed at random 5040 times

Answer 2

i think that the answer is 30