Test Details

Permutations and Combinations

Test

Feb 03, 8:05 PM

55 minutes

Feb 03, 9:00 PM

28.0 marks

MCQ

16 questions

rahul panday

Class Details

Maths

Class -11

Maths

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Question Text

Question 1 :
Find the number of permutations that can be made with the letters of the word $'MOUSE'$

Question 3 :
The greatest number that can be formed by the digits $7,0,9,8,6,3$

Question 4 :
A garrison of '$n$' men had enough food to last for $30$ days. After $10$ days, $50$ more men joined them. If the food now lasted for $16$ days, what is the value of $n$?

Question 5 :
How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole? [Assume that all the 7 flags are used to transmit a signal].

Question 6 :
Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

Question 7 :
Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.

Question 8 :
On the eve of Diwali festival, a group of 12 friends greeted every other friend by sending greeting cards. Find the number of cards purchased by the group.

Question 9 :
There  are 'mn' letters and n post boxes. The number of ways in which these letters can be posted is:

Question 10 :
There are $'m'$ copies each of $'n'$ different books in a university library. The number of ways in which one or more than one book can be selected is

Question 11 :
One mapping is selected at randon from all mappings of the set $ S = \left\{ 1,2,3, ....., n \right\}$ into itself. If the probability that mapping is one-one is $3/32$ then the value of $n$ is

Question 12 :
How many numbers greater than a million can be formed with the digits $2, 3, 0, 3, 4, 2, 3$?

Question 13 :
Different calenders for the month of February are made so as to serve for all the coming years. The number of such calenders is

Question 14 :
lf $\displaystyle x,y\in(0,30)$ such that $ [ \dfrac{x}{3}]+[\dfrac{3x}{2}]+[\dfrac{y}{2}]+[\dfrac{3y}{4}]=\dfrac{11x}{6}+\dfrac{5y}{4} $ (where [x] denote greatest integer $ \le x $) then the number of ordered pairs $(x, y)$ is

Question 15 :
The number of factors (excluding $1$ and the expression itself) of the product of $a^7b^4c^3def$ where $a,b,c,d,e,f$ are all prime numbers is

Question 16 :
In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is<br>

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