In how many ways can the letters of the word ‘MOMENT’ be arranged?

A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. T…

If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the wo…

When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as he…

If $$5{ \times ^{\text{n}}}{{\text{P}}_3} = 4{ \times ^{\left( {{\text{n}} + 1} \right)}}{{\text{P}}_{3,}}$$   …

In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit fa…

How many arrangements of four 0's (zeroes), two 1's and two 2's are there in which the first 1 occur before the first 2?

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such…