Test Details

Permutations and Combinations

Jan 19, 3:00 PM

80 minutes

Jan 19, 4:20 PM

80.0 marks

MCQ

20 questions

Shashwat Sinha

I have 6+ years of teaching experience for BOARDS & JEE. I choose teaching as a profession because I really enjoy to interact with students.

Class Details

Mathematics

Class 11th Reflection

Mathematics

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Question Text

Question 1 :
If 7 points out of 12 are in the same straight line, then the number of triangles formed is

Question 2 :
The figure 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

Question 3 :
Sixteen men compete with one another in running swimming and riding. How many prize lists could be made if there were altogether 6 prizes of different values, one for running, 2 for swimming and 3 for riding?

Question 4 :
Number of quadrilaterals that can be constructed from the vertices of a decagon (10 sided polygon) such that none of the sides of the quadrilateral is also a side of the decagon, is -

Question 5 :
In an examination, there are three multiple choice questions and each question has 4 choices. Number of sequence in which a student can fail to get all answers correct is -

Question 6 :
There are five different green dyes, four different blue dyes and three different red dyes. The total number of combinations of dyes that can be chosen taking at least one green and one blue dye is

Question 7 :
The no. of ways in which 30 marks can be signed to 8 questions giving not less than 2 marks to any questions.

Question 8 :
In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls

Question 9 :
All the letters of the word EAMCET are arranged in all possible ways. The number of such arrangements in which no two vowels are adjacent to each other is

Question 10 :
There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated, is

Question 11 :
Total number of four digit odd numbers that can be formed by using 0, 1, 2, 3, 5, 7 is

Question 12 :
A polygon has 170 diagonals. How many sides will it have?

Question 13 :
In a plane there are two families of lines y = x + r, y = - x + r. where r  {0, 1, 2, 3, 4}. The number of squares of diagonals of the length 2 formed by the lines is -

Question 14 :
In shooting competition at Beijing a man could score 5, 4, 3, 2, 1 or 0 points for each shot. Then the no. of ways in which he could score 10 points in seven shots, is

Question 15 :
In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct, is

Question 16 :
The number of five digit telephone number having at least one of their digits repeated is -

Question 17 :
The number of all possible selections of one or more questions from 10 given questions, each question having an alternative is

Question 18 :
If the number of ways of selecting K cards out of unlimited number of cards bearing the number 0, 9, 3 so that they can’t be used to write the number 903 is 93, then K is equal to

Question 19 :
The no. of ways can 5 balls be distributed into 3 boxes so that every box contains at least one ball if balls are different and boxes are different

Question 20 :
All possible four-digit numbers are formed using the digits 0, 1, 2, 3 so that no number has repeated digits. The number of even number among them is

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