InstaQB

Home
Institutions
- Institutions
  
  Polytechnic Colleges
  
  Medical Colleges
  
  Arts & Science Colleges
  
  Universities
  
  Engineering Colleges
  
  Agricultural Colleges
  
  Research Institute
  
  Law Colleges
  
  Audiology and Speech Colleges
  
  Business & Management colleges
  
  Nursing colleges
  
  Hotel Management institutes
  
  Aeronautical Colleges
  
  Bachelor's Degree
Syllabus
Courses
Stateboard
- 12th Standard English Medium
  
  Maths
  
  Physics
  
  Chemistry
  
  Biology
  
  Computer Science
  
  Business Maths
  
  Economics
  
  Commerce
  
  Accountancy
  
  History
  
  Computer Applications
  
  Computer Technology
  12th Standard Tamil Medium
  
  உயிரியல்
  
  கணினி பயன்பாடுகள்
  
  கணினி அறிவியல்
  
  வணிகக் கணிதம்
  
  வணிகவியல்
  
  பொருளியல்
  
  கணிதவியல்
  
  வேதியியல்
  
  இயற்பியல்
  
  கணினி தொழில்நுட்பம்
  
  வரலாறு
  
  கணக்குப்பதிவியல்
  11th Standard English Medium
  
  Maths
  
  Commerce
  
  Economics
  
  Biology
  
  Business Maths
  
  Accountancy
  
  Computer Science
  
  Physics
  
  Chemistry
  
  Computer Applications
  
  History
  
  Computer Technology
  
  Bio - Zoology
  11th Standard Tamil Medium
  
  கணிதவியல்
  
  உயிரியல்
  
  பொருளியல்
  
  இயற்பியல்
  
  வேதியியல்
  
  வணிகக் கணிதம்
  
  கணினி அறிவியல்
  
  கணக்குப்பதிவியல்
  
  வணிகவியல்
  
  கணினி பயன்பாடுகள்
  10th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  
  9th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  
  8th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
  7th Standard English Medium
  
  Mathematics
  
  Science
  
  Social Science
ICSE/ISC
- Class XII
  
  Mathematics
  
  Physics
  
  Accountancy
  
  Biology
  
  History
  
  Geography
  
  Psychology
  
  chemistry
  
  Economics
  
  Computer Science
  
  Political Science
  
  Business Studies
  Class XI
  
  Accountancy
  
  Chemistry
  
  Mathematics
  
  Biology
  
  Geography
  
  Physics
  
  History
CBSE
- 12Th Standard
  
  Physics
  
  Chemistry
  
  Maths
  
  Biology
  
  History
  
  Economics
  
  Commerce
  
  Geography
  
  Socialogy
  
  Business Studies
  
  Computer Science
  
  Biotechnology Class
  
  Political Science
  
  Home Science
  11Th Standard
  
  Physics
  
  Chemistry
  
  Maths
  
  Biology
  
  History
  
  Economics
  
  Commerce
  
  Socialogy
  
  Business Studies
  
  Geography
  
  Home Science
  
  Computer Science
  
  Biotechnology Class
  
  Political Science
  10Th Standard
  
  Physics
  
  Chemistry
  
  Biology
  
  Mathematics
  
  Economics
  
  Geography
  
  History & Civics
  
  Computer Application
  9Th Standard
  
  Physics
  
  Chemistry
  
  Biology
  
  mathematics
  
  Computer Application
  
  Economics
  
  Geography
  
  History & Civics

11th Maths Monthly Test-3 ( Combinatorics and Mathematical Induction )

St. Britto Hr. Sec. School - Madurai

11th Maths Monthly Test-3 ( Combinatorics and Mathematical Induction )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 2 - Answer All Question

A coin is tossed 8 times,
(i) How many different sequences of heads and tails are possible?
(ii) How many different sequences containing six heads and two tails are possible?

Find the total number of subsets of a set with [Hint: ⁿC₀+ⁿC₁+ⁿC₂+...+ⁿC_n=2ⁿ].
4 elements

Prove that ¹⁵C₃+2 x ¹⁵C₄+ ¹⁵C₄+ ¹⁵C₅= ¹⁷C₅.

If ⁿP_r = ⁿP_r+1 and ⁿC_r = ⁿC_r-1 find n and r.

In how many ways 10 pigeons can be placed in 3 different pigeon holes?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has at least three girls

In how many ways can 5 girls can 3 boys be seated in a row so that no two boys are together?

A person wants to buy a car. There are two brands of car available in the market and each brand has 3 variant models and each model comes in five different colours as in figure. In how many ways she can choose a car to buy?

What is the unit digit of the sum 2! + 3! + 4! + ...+ 22! ?

If the ratio 2nC₃:nC₃ = 11:1, find n.

How many triangles can be formed by joining 15 points on the plane, in which no line joining any three points?

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has atleast one boy and one girl

Evaluate \(\frac { n! }{ r!(n-r)! } \) when n=10,r=3

If ¹⁵C_r: ¹⁵C_r-1 = 11:5 find r.

Part - B

Generic 3 - Answer All Question

An exam paper contains 8 questions, 4 in Part A and 4 in Part B. Examiners are required to answer 5 questions. In how many ways can this be done if
(i) There are no restrictions of choosing a number of questions in either parts.
(ii) At least two questions from Part A must be answered.

If (n-1)P₃:nP₄ =1 :10,find n

Consider the 3 cities Chennai, Trichy and Tirunelveli. In order to reach Tirunelveli from Chennai, one has to pass through Trichy. There are 2 roads connecting Chennai with Trichy and there are 3 roads connecting Trichy with Tirunelveli. What are the total number of ways of travelling from Chennai to Tirunelveli?

If (n + 2)C₈: (n - 2) P₄ = 57:16, find n.

Five boys and 5 girls form a line. Find the number of ways of making the seating arrangement under the following condition.

C₁ C₂

(a) Boys and girls sit alternate (i) 5! x 6!

(b) No two girls sit together (ii) 10! - 5! 6!

(c) All the girls sit together (iii) (5 !)² + (5!)²

(d) All the girls are never together (iv) 2! 5! 5!

How many different words can be formed by using all the letters of the word "ALLAHABAD"? and in how many of them vowels occupy the even positions?

Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the points.

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: almost 3 girls?

If p(n) is the statement "n² - n + 41 is prime". Prove that p(1),p(2), and p(3) are true. Prove also that p(41) is not true.

If (n+2)!=60(n-1)! find n.

How many different selections of 5 books can be made from 12 different books if,
(i) Two particular books are always selected?
(ii) Two particular books are never selected?

How many different strings can be formed together using the letters of the word "EQUATION" so that (i) the vowels always come together? (ii) the vowels never come together?

Evaluate \(\frac { (2n)! }{ n! } \)

Find the number of strings of 5 letters that can be formed with the letters of the word PROPOSITION.

Comment

Add Comment

Tamilnadu Stateboardszs - Class