Permutations & Combinations - Questions & Discussions

how many arrangements of 6 0's, 5 1's and 4 2's are there in which

1)the first 0 precedes the first 1?
2)the first 0 precedes the first 1,precedes the first 2?
3)the first 0 precedes the first 2?

how many arrangements of 6 0's, 5 1's and 4 2's are there in which

1)the first 0 precedes the first 1?

2)the first 0 precedes the first 1,precedes the first 2?

3)the first 0 precedes the first 2?

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Five men and four women are to be seated on 9 adjacent seats in a cinema hall in such a way that no two women sit together. Find the number of ways in which they can be arranged???

@susma77

hello everyone...can someone tell me good books for quant?





4 balls are to be put in 5 boxes.in how many ways can this be done if


a)Balls are similar and boxes are different

b)balls are different and boxes are similar

c)both boxes and balls are similar


Kindly Discuss >

In how many ways we can select 5 letters from the word INSTITUTE?

How Many Different sum can be formed with following Coins.?


5 rupee, 1 rupee, 50 paise, 25 paise, 10 paise, 3 Paise, 2 paise, 1 paise

Explanation is much appreciated ..

@abc_chaiyeh

In how many ways we can select 5 letters from the word INSTITUTE?



6c5

In how many ways can the letter of word FACTOR be permutated so that no consonant are together ??
Time ans---576 ?? Is it right ??

@aditha

All the possible two-character codes are formed using the digits 0 to 9 and the capital letters of the English alphabet A to Z. How many such codes are there which , upon writing the code on piece of paper and then turning the paper to read to code upside down will be mistaken for another code? There is no confusion between zero and the letter O or the number 1 and letter I.



1) 72



2) 90



3) 94



4) 92



5) 100 Skip



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Let f(x)=min{ |2-x|,|x|,|x+2|}. Find the range of x for which f(x) =x-2.

I applied the graphical approach.....
Is there any algebraic approach? Plz share ur thoughts

7 different object must be divided among 3 people, In how many ways can this be done if one or two of them get no objects.

A. 15120 B. 2187 C. 3003 D. 792


Basics of P & C





The number of ways of arranging x students in a row such that no two boys sit together and no two girls sit together is y (y > 100). If one more student is added, then the number of ways of arranging as above increases by 200%. The value of x is

a) 12

b) 8

c) 9

d) 10

In a room filled with 7 people , 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room . If two individuals are selected from the room at random, what is the probability that those two individual are not siblings?

a. 5/21 b. 3/7 c. 4/7 d. 5/7 e. 16/21

Please solve with explanation.


How many ways 18 identical chocolates can be distributed to 8 persons such that all are getting prime number of chocolates?

CL prock mock 8

not sure abt the answer.

let k be an integer such that sum of its digits of k is 4 and 10^5

.The digits 1234 are placed in 3*3 matrix such that no same number are in same row and column. how many many such ways are possible???

A person wants to make a time table for 4 periods. He has to fix one period each for

English, Mathematics, Economics and Commerce. How many different time tables can

he make?