Question 1 :
Five persons A, B, C, D and E occupy seats in a row such that A and B sit next to each other. In how many possible ways can these five people sit?
Question 3 :
If $x$ and $y$ are digits such that $17! = 3556xy428096000$, then $x + y$ equal
Question 4 :
Using the digits $0, 2, 4, 6, 8$ not more than once in any number, the number of $5$ digited numbers that can be formed is<br/>
Question 5 :
The number of ways in which a TRUE or FALSE examination of $n$ statements can be answered on the asumption that no two consecutive questions are answered in the same way is
Question 7 : <div>The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is</div>
Question 8 :
The number of rectangles that you can find on a chess board is :
Question 9 :
The number of ordered triplets of positive integers which are solutions of the equation $x+y+z=100$ is
Question 10 :
In how many ways can 5 persons A,B,C,D and E sit around a circular table.
Question 11 :
Ten different letter of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is:
Question 12 :
If $^{13}C_x=^{13}C_y$ and $x\neq y$, then the value of $x+y$ is ?
Question 13 :
How many numbers amongst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3?
Question 14 :
The no .of ways of selecting $3$ men and $2$ women from $6$ men and $6$ women.
Question 15 :
Statement 1: The number of ways of distributing $10$ identical balls in $4$ distinct boxes such that no box is empty is ${ _{ }^{ 9 }{ C } }_{ 3 }$.<br>Statement 2: The number of ways of choosing any $3$ places from $9$ different places is ${ _{ }^{ 9 }{ C } }_{ 3 }$
Question 16 :
How many zeroes are there in $1 \times 2 \times 3 \times 4 ........... 49 \times 50 $:
Question 17 : The given table shows the possible food choices for lunch. How many different types of lunch can be made each including $1$ type of soup, $1$ type of sandwich and $1$ type of salad?<table class="wysiwyg-table"><tbody><tr><td colspan="3"> Lunch Choices</td></tr><tr><td>Soup</td><td>Sandwich</td><td>Salad</td></tr><tr><td>Chicken</td><td>Cheese</td><td>Vegetable</td></tr><tr><td>Tomato</td><td>Paneer</td><td>Fruit</td></tr></tbody></table>
Question 18 :
If $ \alpha ={ { { ^{ m }{ C } } } }_{ 2 }$, then $ { { { ^{ \alpha }{ C } } } }_{ 2 }$ is equal to
Question 20 :
A group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?
Question 21 :
If $n$ and $r$ are positive integers such that $r < n$, then $ ^nC_r + ^nC_{r-1} =$
Question 22 :
The number of arrangements of these letters of the word 'CALCUTTA'
Question 23 :
Number of words using letter of $INVOLUTE$ with $3$ vowels and $2$ consonats=.............
Question 24 :
There are 6 items in column-A and 6 items in column-B. A student is asked to match each item in column-A with an item in column-B. The number of possible (correct or incorrect) answers are there to this question is
Question 26 :
Eight players take part in a tournament where each player completes with some other player. The number of pairings is?
Question 27 :
Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.
Question 28 :
In a crossword puzzle, $20$ words are to be guessed of which $8$ words have each an alternative solution also. The number of possible solutions will be
Question 29 :
There are $5\ mangoes$ and $4\ apples$. In how many different ways can a selection of fruits be made if fruits of same kind are different?(if minimum $1$ fruit is selected)
Question 31 :
If the letters of word ' IMPORTANCE ' are arranged from left to right in alphabetic order , then which letter will be the fifth from left <br>
Question 32 :
In how many ways can a group of $5$ men and $2$ women be made out of a total of $7$ men and $3$ women
Question 33 :
Between two ends of a bookshelf in your study are displayed five of your favourite puzzle books. If you decide to arrange these five books in every possible combination and move just one book every minute, how long would it take you to do so?
Question 34 :
if $\displaystyle \frac{1}{9!} + \frac{1} {10!}=\frac{x}{11!}$ , then the value of $x$ is :
Question 35 :
There are 'mn' letters and n post boxes. The number of ways in which these letters can be posted is:
Question 36 :
10 different letters of a alphabet are given. Words with 5 Letters are formed from these given letters, then the numbers of words which have at least one letter repeated is
Question 37 :
In there are 12 persons in a party, and if each two of them shake hands with each other, how many handshakes happen in the party ?
Question 38 :
In a party, there are 10 married couples. Each person shakes hands with every person other than her or his spouse. The total number of handshakes exchanged in that party is
Question 39 :
The number of unsuccessful attempts that can be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers is
Question 40 :
Ten different letters of alphabet are given. Words with four letters are formed from these letters, then the number of words which have at least one letter repeated is - <br><br>
Question 41 :
Amy and Adam are making boxes of truffles to give out as wedding favors. They have an unlimited supply of 5 different types of truffles. If each box holds 2 truffles of different types, how many different boxes can they make?
Question 42 :
How many numbers greater than 10 lakhs be formed from 2, 3, 0, 3, 4, 2, 3.
Question 43 :
How many 3-letter words with or without meaning, can be formed out of the letters of the word $LOGARITHMS$ if repitition of letters is not allowed ?
Question 44 :
The number of ways in which $5$ beads, chosen from $8$ different beads be threaded on to a ring, is:
Question 45 :
An automobile dealer provides motor cycles and scooters in three body patterns and $4$ different colours each. The number of choices open to a customer is
Question 46 :
How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole? [Assume that all the 7 flags are used to transmit a signal].
Question 48 :
Three boys and three girls are to be seated around a table in a circle. Among them the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible?
Question 49 :
$15$ buses operate between Hyderabad and Tirupathi.The number of ways can a man go to Tirupathi from Hyderabad by a bus and return by a different bus is
Question 50 :
Number of permutations that can be formed with the letters of the word "TRIANGLE" is
