How many committees of 4 members can be formed from 9 people?

A

)

126

different committees

B

)

21

different committees

C

)

70

different committees

Explanation:Explanation:

Recall: The number of different ways of arranging

n

numbers is

n

!

If 4 people are to be selected from 9 people:

There are 9 different choices for the first person.

There are 8 different choices for the second person.

There are 7 different choices for the third person.

There are 6 different choices for the fourth person.

This gives

9

×

8

×

7

×

6

different committees, however this will include the same combinations of people.

There are

4

×

3

×

2

×

1

ways in which 4 people can be chosen.

A) Therefore, for 4 people chosen from 9 there are

9

×

8

×

7

×

6

×

5

4

×

3

×

2

×

1

=

126

different committees.

B) If two people must stand, there are 2 people to be chosen from the remaining 7. Applying the same thinking as above this gives:

7

×

6

2

=

21

different committees.

C) if either one or the other must stand there are then 3 people who must be chosen from the remaining

7

people;

7

×

6

×

5

3

×

2

×

1

=

35

But this can happen in 2 different ways, depending on whether John or Barbara are on the committee.

So,

2

×

35

=

70

different committees can be formed.

recent improvements in technology/telecommunication/internet have increased the pace of globalization.

explanation:

recent improvements in technology have enhanced the pace of globalization. it is not difficult to recognize that technology has created the human race one big issue. there are several aspects to technology but they all serve to meet us the further. i can beat and be friends with a fellow, thousands of miles away. technology has also bridged the knowledge gap and has presented for the ready transfer of ideas and values.

answer; longitudinal;