1.Find how many four digit different numbers can be made from the digits number 1, 3, 4, 5, 7, 8, 9 if(Marks 4)

a.How many odd digits are formed from these digits and no digits are repeated.

b.How many even digits are formed from these digits and no digits are repeated.

2.The 11 letters of the word REMEMBRANCE are arranged in a line.(Marks 4)

a.Find the number of different arrangements if there are no restrictions.

b.Find the number of different arrangements which starts and finish with the letter M.

3.A committee of 6 people, which contain at least 4 men and at least 1 women, is to be chosen from 10 men and 9 women.(Marks 4)

a.Find the number of possible committee that can be chosen.

b.Find the probability that one particular man. Albert, and one particular woman, Tracy, are both on the committee.

4.A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.

(Marks 3)

a.How many different arrangements are there for parking 9 cars and leaving 4 empty spaces?

b.How many different arrangements are there if the 4 empty spaces are next to each other?

5.The weights in grams of a number of stones, measured correct to the nearest gram, are represented in the following table.(Marks 5)

Weight (gms.)

1-10

11-20

21-30

31-40

41-50

51-60

61-70

Frequency

8

12

15

18

15

12

8

a.Calculate mean deviation from mean.

b.Calculate mean deviation from median

c.Calculate coefficient of variation.