Question

in how many ways the word mobile can be arranged so that vowels do not come together?​

Answer 1

Answer:

720 times!

Step-by-step explanation:

If each letter has to be used and can only be used once (both of which seem to be implied by the term “arrange”): there are 6 letters, all different; the first letter in the arrangement can be any one of the 6; the second letter can be any one of the five remaining letters; the third letter can be any one of the 4 remaining letters; the fourth letter can be any one of the 3 remaining letters; the fifth letter can be any one of the 2 remaining letters; and the sixth letter has to be the sole remaining letter. The number of possible arrangements is 6*5*4*3*2*1 = 6! = 720.