Question 1 :
Four dice are rolled. The number of possible outcomes in which at least one dice shows 2 is
Question 2 :
The number of ways in which 5 pictures can be hung from 7 picture nails on the wall is
Question 3 :
There are four postcards and five letter boxes. In how many ways postwards can be dropped if all of them are not dropped in the same letter box ?
Question 4 :
The no. of ways in which 10 persons of different heights can stand in a row so that the tallest and shortest are together is
Question 5 :
4 points out of 8 points in a plane are collinear. Number of different Quadrilateral that can be formed by joining them is
Question 6 :
No. of ways in which 38808 can be expressed as a product of two co-prime factors are
Question 7 :
The no. of negative integral solutions of equation x + y + z + w + 20 = 0 is:
Question 8 :
If in a chess tournament each contestant plays once against each of the other and in all 45 games are played, then the number of participants is
Question 9 :
A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is
Question 10 :
In the above problem, the no. of ways if balls are identical and boxes are different
Question 11 :
7 people leave their bags outside temple and returning after worshiping the deity picked one bag each at random. In how many ways at least one and at most three of them get their correct bags?
Question 12 :
If the letters of the word MOTHER are written in all possible orders and these words are written out as in a dictionary, then the rank of the word MOTHER is -
Question 13 :
A student is allowed to select at most n books from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, the value of n is -
Question 14 :
The number of triangles that can be formed by 5 points in a line and 3 points on a parallel line is
Question 15 :
In the decimal system of numeration the number of 6-digit numbers in which the sum of the digits is divisible by 5 is -
Question 16 :
Number of ordered triplets (a, b, c) of positive integers less than 10, for which the product abc is divisible by 20, are -
Question 17 :
If there are three objects, then the number of permutations of these objects taken two at a time is 8.<br/>
Question 18 :
Given 6 different toys of red colour, 5 different toys of blue colour and 4 different toys of green colour. Combination of toys that can be choosen taking at least one rod and one blue toys are-
Question 19 :
<font>The total numbers of integral solutions for (x,y,z) such that xyz = 24 is</font></p>
Question 20 :
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?
