Combinations

Letters of the word $\mathrm{DIRECTOR}$ are arranged in such a way that all the vowels come together. Find total number of arrangements?

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?

Find the total number of combinations of three letters, J, R, T taken $1$, $2$, $3$ 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.

G. Nath StoresL. R. ChowkKota -324002

The number of ways can $3$ nurses and $4$ engineers be seated on a bench with the nurses seated together is?

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?

There are four balls of four different colors. Two balls are taken at a time and arranged in a definite order. For example, if a white and red balls are taken, one definite arrangement is white first, red second, and another arrangement is red first, white second. How many such arrangements are possible?

Inequalities in which items compared are never equal to each other is classified as

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

In how many ways can a committee of three consisting of two chemical engineers and one mechanical engineer can be formed from four chemical engineers and three mechanical engineers?

How many committees can be formed by choosing $4$ men from an organisation of a membership of $15$ men?

There are four balls of different colours. Two balls at a time are taken and arranged any way. How many such combinations are possible?

If ${}^{1000}c_{98}={}^{999}c_{97}+{}^{x}c_{901}$ then the value of x will be

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?

There are $13$ teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they all play without any team playing more than one game in any day?