Test Details

Permutations and Combinations

Jan 19, 3:00 PM

60 minutes

Jan 19, 4:00 PM

20.0 marks

MCQ

20 questions

Ranjeet Sharma

I am passionate about my work. my focus is on Conceptual clarity.

Class Details

Maths

Class 11th

Maths

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Question Text

Question 1 :
The number of ways in which $5$ beads, chosen from $8$ different beads be threaded on to a ring, is:

Question 2 :
Find the number of three letter words that can be formed by using the letters of the word $'MASTER'$

Question 3 :
Consider the following statements: 1. If $18$ men can earn Rs. $1,440$ in $5$ days, then $10$ men can earn Rs. $ 1,280$ in $6$ days. 2. If $16$ men can earn Rs. $ 1,120$ in $7$ days, then $21$ men can earn Rs. $ 800$ in $4$ days. Which of the above statements is/are correct?

Question 4 :
In the series given below. count the number of 9s, each of which Is not immediately preceded by 5 but isimmediately followed by either 2 or 3. How many such 9s are there? 1 9 2 6 5 9 3 8 3 9 3 2 5 9 2 9 3 4 8 2 6 9 8

Question 5 :
A pod of $6$ dolphins always swims single file, with $3$ females at the front and $3$ males in the rear. In how many different arrangements can the dolphins swim?

Question 6 :
There are $'m'$ copies each of $'n'$ different books ina university library. The number of ways in whichone or more than one book can be selected is

Question 7 :
How many different words can be formed by jumbling the letter in the word MISSISSIPPI in which no two S are adjacent?

Question 8 :
A shelf contains $15$ books, of which $4$ are single volume and the others are $8$ and $3$ volumes respectively. In how many ways can these books be arranged on the shelf so that order of the volumes of same work is maintained $?$

Question 9 :
If $^{13}C_x=^{13}C_y$ and $x\neq y$, then the value of $x+y$ is ?

Question 10 :
 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 11 :
A total of $28$ handshakes was exchanged at the conclusion of a party. Assuming that each participant was equally polite towards all the others, the number of people present was:

Question 12 :
$15$ 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 13 :
Find the coefficient of the middle term of the expansion $\left (x-\dfrac{1}{2y}\right)^{10}$:

Question 14 :
There are $5$ doors to a lecture hall. The numberof ways that a student can enter the hall andleave it by a different door is

Question 15 :
When we realize a specific implementation of a pancake algorithm, every move when we find the greatest of the sized array and flipping can be modeled through ____________.

Question 16 :
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 17 :
Let the coefficient of $10^{th}$ term of an expansion be $a$ and $b$ be the power. Expansion:$\left (2x^2+ \dfrac 1x\right)^{12}$ Find $a \times b$.

Question 18 :
The number of ways in which ten candidates $A_1, A_2,......A_{10}$ can be ranked such that $A_1$ is always above $A_{10}$ is

Question 19 :
A total of $324$ coins of $20$ paise and $25$ paise make a sum of $Rs.71$, the number of $25$ paise coins is

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