# InfyTQ Permutation and Combination Quiz 2

Question 1

Time: 00:00:00
In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men?

2256

2256

2258

2258

2456

2456

2272

2272

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Question 2

Time: 00:00:00
From a bag containing 8 green and 5 red balls, three are drawn one after the other. What is the probability of all three balls beings green if the balls drawn are replaced before the next ball pick and the balls drawn are not replaced , are respectively.?

$\frac{521}{2197}, \frac{336}{2197}$

$\frac{521}{2197}, \frac{336}{2197}$

$\frac{336}{2197},\frac{512}{2197}$

$\frac{336}{2197},\frac{512}{2197}$

$\frac{512}{2197},\frac{336}{1716}$

$\frac{512}{2197},\frac{336}{1716}$

$\frac{336}{1716},\frac{512}{1716}$

$\frac{336}{1716},\frac{512}{1716}$

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Question 3

Time: 00:00:00
A bag contains 8 white balls, and 3 blue balls. Another bag contains 7 white, and 4 blue balls. What is the probability of getting blue ball?

$\frac{7}{22}$

$\frac{7}{22}$

$\frac{8}{15}$

$\frac{8}{15}$

$\frac{7}{11}$

$\frac{7}{11}$

$\frac{9}{13}$

$\frac{9}{13}$

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Question 4

Time: 00:00:00
3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122.  6 mangoes and 2 peaches costs Rs.114.  What is the combined price of 1 apple, 1 peach, and 1 mango.

(Note : Question is correct on various websites there is a type of cost being 144, actually its not 144 its 114)

59

59

61

61

49

49

37

37

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Question 5

Time: 00:00:00
The letters in the word ROADIE are permuted in all possible ways and arranged in alphabetic order. Find the word in the 44th rank.

AERIOD

AERIOD

AERODI

AERODI

AERDOI

AERDOI

AEODRI

AEODRI

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Question 6

Time: 00:00:00
There are 4 couples who go for honeymoon together.at one of the places they all have to cross the river but only one boat is available.wives are jealous that they dont want their husbands to travel with another women and husbands are also possessive that they dont want their wives to travel with some other men.the no of minimum possible ways in which they will cross the river are.

19

19

18

18

17

17

16

16

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Question 7

Time: 00:00:00
Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any

number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in the purse, and he paid (2,0,6) rupees to the servant. How much money is left in the purse?

49

49

56

56

59

59

61

61

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Question 8

Time: 00:00:00
$\frac{2}{3}$rd of the balls in a bag are blue, the rest are pink. if $\frac{5}{9}$th of the blue balls and $\frac{7}{8}$th of the pink balls are defective, find the total number of balls in the bag given that the number of non defective balls is 146?

224

224

432

432

334

334

229

229

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Question 9

Time: 00:00:00
3 white chips, 7 blue chips, 16 green chips, 2 chips drawn from the box in succession what is the probability that one is blue and other is white?

$\frac{21}{13 \times 25}$

$\frac{21}{13 \times 25}$

$\frac{22}{13\times 25}$

$\frac{22}{13\times 25}$

$\frac{21}{14\times 25}$

$\frac{21}{14\times 25}$

$\frac{21}{17\times 25}$

$\frac{21}{17\times 25}$

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Question 10

Time: 00:00:00
An organisation has 3 committees, only 2 persons are members of all 3 committee but every pair of committee has 3 members in common. what is the least possible number of members on any one committee?

BACD

BACD

ABDE

ABDE

DACB

DACB

ACDB

ACDB

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["0","40","60","80","100"]
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