A committee of five members is to be formed out of 3 trainees,

4 professors and 6 research associates. In how many different

ways can this be done if :

The committee should have all 4 professors and 1 research

associate or all 3 trainees and 2 professors ?

12

16

13

18

20

A committee of five members is to be formed out of 3 trainees,

4 professors and 6 research associates. In how many different

ways can this be done if :

The committee should have 2 trainees and 3 research

associates ?

120

90

60

85

56

In how many different ways can the letters of the word

‘SECOND be arranged ?

720

120

420

360

840

In how many different ways can the letters of the word

'SIMPLE' be arranged ?

360

720

2880

1440

120

In how many different ways can the letters of the word

‘BELIEVE’ be arranged ?

720

1440

840

1680

900

In how many ways the letters of the word SACRED can be

arranged so that vowels come together ?

720

360

140

240

280

In how many different ways can the letters of the word

‘THERAPY’ be arranged so that the vowels never come

together ?

3600

36000

12000

1200

2400

10 men and 8 women out of which 5 men are teachers, 3 men

doctors and businessmen. Among the women, 3 are teachers,

2 doctors, 2 researchers and 1 social worker.

A Committee of 5 in which 3 men and 2 women are there

3300

3520

3340

3360

3320

10 men and 8 women out of which 5 men are teachers, 3 men

doctors and businessmen. Among the women, 3 are teachers,

2 doctors, 2 researchers and 1 social worker.

A Committee of 4 in which at least 2 women are there

3200

2250

1980

2210

1890

10 men and 8 women out of which 5 men are teachers, 3 men

doctors and businessmen. Among the women, 3 are teachers,

2 doctors, 2 researchers and 1 social worker.

A Committee is 5 in which 2 men teachers, 2 women teach

ers and 1 doctor are there

320

220

180

150

200