Questions

1. Question 1

   How many arrangements of the letters of the following words, taken all together can be made?

   (i)

   PAKISTAN

   (ii)

   CURRICULUM

   (iii)

   PROBABILITY

   SolutionTheory
2. Question 2

   How many permutations of the letters of the word "BANANA" can be made, if B must be the first letter in each arrangement?

   SolutionTheory
3. Question 3

   How many arrangements of the letters of the word TRIGONOMETRY can be made, if each arrangement begins with T and ends with Y?

   SolutionTheory
4. Question 4

   Abdullah has a collection of 9 marbles consisting of 4 identical red marbles, 3 identical blue marbles and 2 identical green marbles. If he wants to arrange all of them in a straight row, how many distinct arrangements are possible?

   SolutionTheory
5. Question 5

   In how many different ways can the following persons sit around a round table?

   (a)

   8 persons

   (b)

   7 persons

   (c)

   6 persons

   SolutionTheory
6. Question 6

   In how many ways can 5 couples sit around a round table if no two women are sitting together?

   SolutionTheory
7. Question 7

   How many 6-digit numbers can be formed from the digits 7, 7, 8, 8, 9, 9?

   SolutionTheory
8. Question 8

   15 members of a club form 4 committees of 3, 5, 4 and 3 members so that no member is a member of more than one committee. Find the number of committees.

   SolutionTheory
9. Question 9

   The D.C.Os of 11 districts meet to discuss the law-and-order situation in their districts. In how many ways can they be seated at a round table, when two particular D.C.Os insist on sitting together?

   SolutionTheory
10. Question 10

    The Governor of the Punjab calls a meeting of 14 officers. In how many ways can they be seated at a round table?

    SolutionTheory
11. Question 11

    Fatima invites 14 people for a dinner. There are 9 males and 5 females who are seated at two different tables. Guests of one sex sit at one round table and the guests of the other sex sit at the second table. Find the number of ways in which all guests can be seated.

    SolutionTheory
12. Question 12

    Find the number of ways in which 5 men and 5 women can be seated at a round table in such a way that no two persons of the same sex sit together.

    SolutionTheory
13. Question 13

    In how many ways can 8 keys be arranged in a circular key ring?

    SolutionTheory
14. Question 14

    How many necklaces can be made from 10 beads of different colours?

    SolutionTheory