quiz about permutation with 2 sets

1. QUIZ NO. 1 PERMUTATIONS (SET A)
Answer the following questions. Copy the questions on a sheet of paper. Do not write
anything on the questionnaire.
1. How many 3-letter words with or without meaning, can be formed out of the letters of the
word, 'LOGARITHMS', if repetition of letters is not allowed?
2. How many arrangements can be made out of the letters of the word 'ENGINEERING'?
3. What is the value of 100P2?
4. How many 6 digit telephone numbers can be formed if each number starts with 35 and no
digit appears more than once?
5. In how many ways can 7 boys be seated in a circular order?
6. In how many ways can 10 books be arranged on a shelf such that a particular pair of books
should always be together?
7. In how many ways can 10 books be arranged on a shelf such that a particular pair of books
will never be together?
8. In how many ways can 11 persons be arranged in a row such that 3 particular persons
should always be together?
9. In how many ways can 5 distinguishable balls be put into 8 distinguishable boxes if no box
can contain more than one ball?
10.There are four candidates for a job. The members of the search committee will rank the four
candidates from strongest to weakest. How many different outcomes are possible?
QUIZ NO. 1 PERMUTATIONS (SET B)
Answer the following questions. Copy the questions on a sheet of paper. Do not write
anything on the questionnaire.
1. In how many ways can the letters of the word 'LEADER' be arranged?
2. In how many different ways can the letters of the word 'RUMOUR' be arranged?
3. What is the value of 95P2?
4. In how many ways can three boys can be seated on five chairs?
5. In how many ways can 10 students can be arranged in a row?
6. In how many ways can 15 books be arranged on a shelf such that a particular pair of books
should always be together?
7. In how many ways can 15 books be arranged on a shelf such that a particular pair of books
will never be together?
8. In how many ways can 5 blue balls, 4 white balls and the rest 6 different colour balls be
arranged in a row?
9. In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4
doctors sit together?
10.In how many ways is it possible for 15 students to arrange themselves among 15 seats in
the front row of an auditorium?