Question

Words to mississippi probability that all the s letters come together is

Answer 1

The word “mississippi” consists of m(1),i(4),s(4),p(2)

###the numbers in bracket are cardinality###

So total permutations=11!/(4!*4!*2!)=34650

If 4s appear consecutively ie appear together, then 4s can be denoted by a character say X.

So we've now 8 characters i.e m(1),i(4),X(1),p(2)

Again total permutations=8!/(4!*2!)=840

So favourable cases are 840

hence probability = 840/34650=4/165

.......

Answer 2

Step-by-step explanation:

Consider 4 s as one unit. Thus total no.of digits = 8, out of which 4 are Is, 2 Ps, 1 M and 1 unit of 4 Ss.

Thus, no.of favorable arrangements = 8!/(4!X2!)

Total no.of all arrangements = 11!/(4!X4!X2!)

Hence the probability = (8!X4!)/(11!) = 24/990 = 4/165