Permutations and Combinations

If $15$ people won prizes in the state lottery (assuming that there are no ties), how many ways can these $15$ people win first, second, third, fourth and fifth prizes?

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

G. Nath StoresL. R. ChowkKota -324002

A PSME unit has $10$ ME's, $8$ PME's and $6$ CPM's. If a committee of $3$ members, one from each group is to be formed, how many such committees can be formed?

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

Yogi chaphriderNiranjan AshramNaseek -422013

How many permutations can be made out of the letters in the word island taking four letters at a time?

Study the given information carefully and answer the questions that follow—
A committee of $6$ teachers is to be formed out of $5$ History teachers, $6$ English teachers and $4$ Economics teachers. In how many ways can the committee be formed if -

How many teacher can be included in the committee?
If $6$ teachers have to selected out of $15$

How many $4$ digit numbers can be formed without repeating any digit from the following digits: $1,2,3,4 \& 6$ ?

Directions: In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select option D as the answer.


(A) We cannot handle this complicated case today / (B) unless full details are not given/ (C) to us by them. / (D) No error

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

E.T.N. HospitalZahermargBilandoli Garden

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

Phiroz GerablHarmit palaceSamaita nagar

In how many ways can $6$ distinct books be arranged in a bookshelf?

Study the given information carefully and answer the question that follow—
A committee of $6$ teachers is to be formed out of $5$ History teachers, $6$ English teachers and $4$ Economics teachers. In how many ways can the committee be formed if -
$2$ teachers from each stream are to be included.
(1)number of teachers in class $A$ is $6$
(2) Number of teacher in class $B$ is $5$
(3)Number of teacher in class $C$ is $4$

Five different Mathematics books,$4$ different electronics books, and $2$different communications books are to be placed on a shelf with the books of the same subject together. Find the number of ways in which the books can be placed?

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

B. K. BhushanAnant jeweller'sK hajureth-4711606

Study the given information carefully and answer the questions that follow—
A committee of $6$ teachers is to be formed out of $5$ History teachers, $6$ English teachers and $4$ Economics teachers. In how many ways can the committee be formed if -

At least $1$ teacher from History stream is to be included?

How many permutations are there if the letters PNRCSE are taken six at a time?

In each question below a combination of name and address is given, followed by four such options, one each under the columns A,B, C and D. You have to find out the combination which is exactly the same as the combination in the question. The number of that option which contains that combination is the answer.

Nitu gajadharShersing HaveliJaipur -302006

What is the number of permutations of the letters in the word BANANA?

Study the given information carefully and answer the questions that follow—
A committee of $6$ teachers is to be formed out of $5$ History teachers, $6$ English teachers and $4$ Economics teachers. In how many ways can the committee be formed if -

If $6$ teachers has to be selected out of $11$ teachers the number of ways to select?

The number of integers greater than $6000$ that can be formed with $3, 5, 6, 7$ and $9$ where no digit is repeated, is