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Permutations & Combinations

Important Instructions
41.

How many three letter words are formed using the letters of the word TIME?

Answer: D

The number of letters in the given word is four. 

The number of three letter words that can be formed using these four letters is ⁴P₃ = 4 * 3 * 2 = 24.

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42.

Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?

Answer: B

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43.

Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

Answer: C

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44.

A locker in bank has 3 digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations?

Answer: D

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45.

On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?

Answer: B

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46.

There are 5 tasks and 5 persons, Task 1 cannot be assigned to either person 1 or person 2, Task 2 must be assigned to either person-3 or person-4 every person is to be assigned one task, In how many ways can the assignment be done?

Answer: C

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47.

In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

Answer: B

The number of arrangement in which A and B are not together 

= Total number of arrangements 

= Number of arrangements in which A and B are together =4!-3!x2! = 24-12 =12.

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48.

In Daya’s bag there are 3 books of History, 4 books of Science and 2 books of Maths. In how many ways can Daya arrange the books so that all the books of same subject are together?

Answer: D

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49.

In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?

Answer: D

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50.

In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?

Answer: A

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