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Q:

A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

A) 120	B) 162
C) 126	D) 170

Answer & Explanation Answer: C) 126

Explanation:

This question is a combination since order is not important.

Answer = $7 C_{3}$ = 126

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Filed Under: Permutations and Combinations

Q:

What is the maximum number of triggers, can apply to a single table?

A) 8	B) 10
C) 12	D) 14

Answer & Explanation Answer: C) 12

Explanation:

Maximim number of triggers that can be applied to a single table is 12

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Filed Under: Oracle Certification
Job Role: Database Administration

Q:

What is the difference between Silverlight 1.0 and 2?

Answer

Silverlight 1 is purely AJAX and JavaScript based. All the code has to be written in JavaScript and XAML.

Silverlight 2 supports managed code. When the Silverlight 2 runtime is installed, it installs a limited version of the .NET runtime on the client machine

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Subject: Web Technology
Job Role: Database Administration

Q:

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A) 53400	B) 17610
C) 11760	D) 45000

Answer & Explanation Answer: C) 11760

Explanation:

Required number of ways = $(8 C_{5} * 10 C_{6})$ = $(8 C_{3} * 10 C_{4})$ = 11760

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Filed Under: Permutations and Combinations

Q:

There are 6 bowlers and 9 batsmen in a cricket club. In how many ways can a team of 11 be selected so that the team contains at least 4 bowlers?

A) 1170	B) 1200
C) 720	D) 360

Answer & Explanation Answer: A) 1170

Explanation:

Possibilities Bowlers Batsmen Number of ways

6 9

1 4 7 $(6 C_{4} * 9 C_{7})$

2 5 6 $(6 C_{5} * 9 C_{6})$

3 6 5 $(6 C_{6} * 9 C_{5})$

$(6 C_{4} * 9 C_{7})$ = 15 x 36 = 540

$(6 C_{5} * 9 C_{6})$ = 6 x 84 = 504

$(6 C_{6} * 9 C_{5})$ = 1 x 126 = 126

Total = 1170

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Filed Under: Permutations and Combinations

Q:

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

A) 10	B) 30
C) 35	D) 60

Answer & Explanation Answer: C) 35

Explanation:

A triangle is formed by joining any three non-collinear points in pairs.

There are 7 non-collinear points

The number of triangles formed = $7 C_{3}$ = 35

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Filed Under: Permutations and Combinations

Q:

Which platforms does Silverlight support?

Answer

Mac OS

Windows Vista

Windows XP SP2

Windows 2000

Windows Server 2003

Linux (Moonlight)

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Subject: Web Technology

Q:

Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?

A) 720	B) 360
C) 120	D) 640

Answer & Explanation Answer: B) 360

Explanation:

Two horses A and B, in a race of 6 horses... A has to finish before B

if A finishes 1... B could be in any of other 5 positions in 5 ways and other horses finish in 4! Ways, so total ways 5*4!

if A finishes 2... B could be in any of the last 4 positions in 4 ways. But the other positions could be filled in 4! ways, so the total ways 4*4!

if A finishes 3rd... B could be in any of last 3 positions in 3 ways, but the other positions could be filled in 4! ways, so total ways 3*4!

if A finishes 4th... B could be in any of last 2 positions in 2 ways, but the other positions could be filled in 4! ways, so total ways... 2 * 4!

if A finishes 5th .. B has to be 6th and the top 4 positions could be filled in 4! ways..

A cannot finish 6th, since he has to be ahead of B

Therefore total number of ways = 5*4! + 4*4! + 3*4! + 2*4! + 4! = 120 + 96 + 72 + 48 + 24 = 360

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Filed Under: Permutations and Combinations

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