Assignment Details

Multiplication Principle, Permutations and Combinations

4504 minutes

Jan 19, 1:56 PM

41.0 marks

MCQ

24 questions

Abhishek mishra

we teach from class 8TH to class 12th in online as well as in offline mode. we provide the best faculty who teach interactively. we provide group as well as one-to-one classes. class 1 to 7th all subjects. class 8th to 10th maths science and social science. class 11th and 12 maths physics and chemistry. we understand your concern about fraud so we provide 15 days demo classes and monthly fee options so that whenever you feel our teaching methods are not satisfactory you can leave the class.

Class Details

Maths

11th

Maths

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Question Text

Question 1 :
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 2 :
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 3 :
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 4 :
If $^nP_r = 30240$ and $^nC_r = 252, $ then the ordered pair $(n,r) $ is equal to :

Question 5 :
There are $5$ doors to a lecture hall. The number of ways that a student can enter the hall and leave it by a different door is

Question 6 :
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 8 :
Let the coefficient of $5^{th}$ term from the end of an expansion be $a$ and $b$ be the power.<br/>Expansion:$\left (\dfrac{x^3}{2}- \dfrac 2{x^2}\right)^{9}$<br/>Find $a \times b$.

Question 9 :
The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

Question 10 :
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 11 :
How many combinations of two-digit numbers having 8 can be made from the following numbers?<br>8, 5, 2, 1, 7, 6

Question 12 :
In how many ways can 5 persons A,B,C,D and E sit around a circular table.

Question 13 :
Number of permutations that can be formed with the letters of the word "TRIANGLE" is

Question 14 :
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 15 :
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 16 :
The number of ways in which 7 persons can be arranged around a circle is:

Question 17 :
The number of different $7$ digit numbers that can be written using only the three digits $1,2$ and $3$ with the condition that the digit $2$ occurs twice in each number is

Question 18 :
The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is

Question 19 :
Find the number of ways in which $12$ different beads can be arranged to form a necklace.

Question 20 :
In how many ways $n$ books can be arranged in a row so that two specified books are not together

Question 21 :
If $\displaystyle ^{7}C_{r} + 3 ^{7}C_{r+1} + 3 ^{7}C_{r+2} + ^{7}C_{r+3} > ^{10}C_{4}$, then the quadratic equation whose roots are $\displaystyle \alpha, \: \beta$ and $\displaystyle \alpha^{r-1}, \: \beta^{r-1}$ have

Question 22 :
Ten persons, amongst whom are $A,B$ and $C$ are to speak at a function. The number of ways in which it can be done if $A$ wants to speak before $B$, and $B$ wants to speak before $C$ is

Question 23 :
A florist has in stock several dozens of each of the following roses, carnations, and lilies. How many different bouquets of half dozens flowers can be made. (arrangement is not important)?

Question 24 :
There are $10$ distinct chairs around a circular table. The number of ways in which three persons can sit, so that no two consecutive chairs are occupied, is :

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