# Aptitude/Aptitude Permutations and Combinations Mcq Sample Test,Sample questions

1.165

2.185

3.205

4.225

## Question: ``` A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? ```

1.Â²Â²CÃ¢â€šÂÃ¢â€šâ‚¬

2.Â²Â²CÃ¢â€šÂÃ¢â€šâ‚¬ + 1

3.Â²Â²CÃ¢â€šÂÃ¢â€šâ‚¬ + 1

4.Â²Â²CÃ¢â€šÂÃ¢â€šâ‚¬ - 1

1.63

2.511

3.1023

4.15

1.400

2.500

3.600

4.20

1.19

2.120

3.124

4.1024

1.39

2.30

3.21

4.20

1.9

2.12

3.14

4.18

1.63

2.90

3.126

4.45

1. 4800

2.5760

3.2880

4.15000

## Question: ``` In how many ways can six members be selected from a group of ten members? ```

1.Ã¢ÂÂ¶CÃ¢â€šâ€ž

2.Â¹Ã¢ÂÂ°CÃ¢â€šâ€ž

3.Â¹Ã¢ÂÂ°CÃ¢â€šâ€¦

4. Â¹Ã¢ÂÂ°PÃ¢â€šâ€žE. Â¹Ã¢ÂÂ°PÃ¢â€šâ€¦

1.100

2.60

3.30

4.20

1.15

2.36

3.48

4.60

## Question: ```A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag? ```

1.Ã¢ÂÂ¹CÃ¢â€šâ€š

2.Â³CÃ¢â€š

3.Â¹Ã¢ÂÂ¶CÃ¢â€šâ€š

4.Â¹Â²CÃ¢â€šâ€šE. Â¹Ã¢ÂÂ´CÃ¢â€šâ€š

1.21

2.12

3.9

4.108

1.150

2.200

3.150

4.None of these

1.20

2.54

3.42

4.60

1.300

2.600

3.750

4.900

1.300

2.450

3.600

4.750

## Question: ```A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? ```

1.Â¹Â²CÃ¢â€šâ€¦ * 10

2.Â¹Â²CÃ¢â€šâ€¡ * 10

3.Â¹Â²CÃ¢â€šâ€¡ * Â¹Ã¢ÂÂ°CÃ¢â€šâ€¦

4.12 * Â¹Ã¢ÂÂ°CÃ¢â€šâ€¦

1.216

2.243

3.215

4.729

1.12

2.38

3.36

4.42

1.10

2.15

3.20

4.25

1.20

2.40

3.51

4.1020

1.4

2.12

3.18

4.None of these

1.5

2.6

3.7

4.18

1.11

2.30

3.14

4.20

1.24

2.38

3.46

4.58

1.720

2.1440

3.1860

4.160

1.5

2.6

3.7

4.8

1.40

2.400

3.5040

4.2520

1.100

2.360

3.120

4.60

1. 360

2.60

3.300

4.180

1.12

2.20

3.16

4.24

1.120

2.240

3.360

4.480

1.10080

2.4989600

3.12096

4.None of these

1.120

2.720

3.4320

4.2160

## Question: ```In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women? ```

1. Ã¢ÂÂ¶CÃ¢â€šâ€ž Ã¢ÂÂ·CÃ¢â€šÆ’

2.Ã¢ÂÂ¶CÃ¢â€šÆ’ Ã¢ÂÂ·CÃ¢â€šâ€¦

3.Ã¢ÂÂ¶CÃ¢â€šÆ’Ã¢ÂÂ·CÃ¢â€šâ€ž

4.Ã¢ÂÂ·CÃ¢â€šâ€¦ Ã¢ÂÂ¶CÃ¢â€šâ€ž

1.25

2.13

3.40

4.20

1. 29

2.33

3.55

4.32

1.720

2.144

3.120

4.204

1.4000

2.2160

3.4320

4.5300

## Question: ```The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -. ```

1.(6!)2

2.6! * Ã¢ÂÂ·PÃ¢â€šâ€

3.2(6!)

4.None of these

1.200

2.190

3.95

4.380

1.870

2.435

3.30!

4.29! + 1

1.6

2.12

3.24

4.144

1.15

2.18

3.24

4.30

1.36

2.81

3.91

4.116

1.6

2.9

3.15

4.18

1.3

2.6

3.24

4.20

1.8

2.8!

3.7!

4.7

## More MCQS

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