Q1 . how many ways can 5 white balls and 4 red balls arranged such that no red balls are adjacent to one another?

1. 2880

2. 4096

3. 2056

4. 1024

Check Answer

Correct Answer is

2880

SOLUTION

there are 5 white and 4 red balls

arrange red balls in 4! Ways

with the gaps created between 4 red balls

white balls can be arranged in 5!

4! X5!

=2880

Q2 . Find the number of diagonals a 20 sided figure would have?

1. 100

2. 200

3. 170

4. 190

Check Answer

Correct Answer is

170

SOLUTION

The formula to find the number of diagonals for a n sided figure is

nC2-n

20C2-20

=190-20

=170

Q3 . A driver has to test drive cars in a garage.There are 5 cars in a garage.In how many ways can the number of cars be test driven?

1. 120

2. 20

3. 32

4. 31

Check Answer

Correct Answer is

31

SOLUTION

There are two cases in which

a car is test driven or not

There are totally 5 cars

So ways of test driving atleast one car

=2^5-1

=31

Q4 . In how many ways can the word aptitude be arranged?

1. 8!/(2!)

2. 8!

3. 9!

4. 8!/(2!x2!)

Check Answer

Correct Answer is

8!/(2!)

SOLUTION

Total alphabets are 8

T is repeated twice

=8!/(2!)

Q5 . If there are 43 non collinear points find the number of quadrilaterals that can be formed?

1. 43C2

2. 43C4

3. 43!

4. 43!/4!

Check Answer

Correct Answer is

43C4

SOLUTION

A quadrilateral is 4 sided figure

Total points are 43

=43C4

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permutation and Combination solved problems part -5

For more Permutation and Combination aptitude problems

• Permutation and Combination solved problems part -1
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• Permutation and Combination solved problems part -3
• Permutation and Combination solved problems part -4
• Permutation and Combination solved problems part -5