How many four letter words can be formed using the letters of the word “ROAMING”?

In a party, each person shook hands with every other person present. The total number of handshakes was 28. Find the number of people present in the party.

Calculate the number of diagonals that can be drawn by joining the vertices of a decagon?

There are 6 vacant seats for the post of aptitude faculty in college out of which two seats are reserved for postgraduates. We have received 10 applications out of which 4 are postgraduates. In how many ways selection can be made?

In a tournament, Bhubaneswar Premier League, seven teams participated out of which top three will win the prize. In how many ways can prizes be distributed?

Professor Kumar has made a test of 10 questions each of which has four options, out of which only one is correct. In how many ways can a student answer the test?

There are 7 people sitting around a circular table. Find the number of ways they can be seated?

How many of such words are possible?

There are 25 people in a room including a couple, "Romeo" and "Juliet." Find the number of ways in which they can be arranged around a circular table if there is exactly one person between Romeo and Juliet?

There are 25 people in a room including a couple, "Romeo" and "Juliet." Find the number of ways in which they can be arranged around a circular table if Romeo and Juliet are always separated?

How many of these words have no two vowels next to each other?

How many 4-letter words can be formed using these letters such that at least one letter of the word is a vowel?

If there are ten letters and ten envelopes, I have placed the nine letters in right envelopes, in how many can I put the last one letter in wrong envelope?

In an aptitude exam, there are 5 multiple choice questions each have a single correct answer. If a student attempts the exam ,find the number of ways in which he can answer all the questions correctly .

How many three letter words can be formed using the letters of the word “PRACTICES”?