Question

How many arrangements of the letters in mississippi have no consecutive s's?

Answer 1

Put all the letters except ‘s’ in a row alternately as shown below:

_m_i_i_i_p_p_i_

The arrangements of the above letters=7!/(4!2!)=105

Now, there are 8 blank spaces for ‘s’.

So, ‘s’ has combinations=8!/(4!4!)=70

Now, according to the question:

The total arrangements of the letters in Mississippi having no consecutive s’s=70X105=7350.

So, the answer is 7350.