Test Details

Permutations and Combinations

Jan 19, 3:00 PM

60 minutes

Jan 19, 4:00 PM

50.0 marks

MCQ

15 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 ( Board + JEE)

Mathematics

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Question Text

Question 1 :
How many signals can be made by $5$ flags from $8$ flags of different colors?

Question 2 :
If $ {}^{56}P_{r + 6} : {}^{54}P_{r+3} = 30800 : 1$, then $r$ $ = $

Question 3 :
A car will hold $2$ persons in the front seat and $1$ in the rear seat. If among $6$ persons only $2$ can drive, the number of ways in which the car can be filled is

Question 4 :
$76$ ladies completer a job in $33$ days. Due to some reason some ladies did not join the work and therefore it was completed in $44$ days. The number of ladies who did not report for the work is

Question 5 :
How many five letter words, with meaning or without meaning, can be formed by using the letters $A,B,C$ such that letter $A$ cannot be repeated but $B$ and $C$ can be used any number of times

Question 6 :
A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. The number of ways in which he can choose the 7 questions is -

Question 8 :
A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which he can select one book is 63, then the value of n is equal to

Question 9 :
There are 20 persons among whom are two brothers. The number of ways in which we can arrange them around a circle so that there is exactly one person between the brothers is

Question 10 :
The value of $\ ^{35}C_{8} + \sum_{r = 1}^{7}{\ ^{42 - r}C_{7}} + \sum_{s = 1}^{5}{\ ^{47 - s}C_{40 - s}}$ , is

Question 11 :
The number of all the possible selections which a student can make for answering one or more questions out of eight given questions in a paper, when each question has an alternative is

Question 12 :
If eight persons are to address a meeting, then the number of ways in which a specified speaker is to speak before another specified speaker is

Question 13 :
The number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together is

Question 14 :
In how many ways can 5 boys and 5 girls sit in a circle so that no boys sit together

Question 15 :
These are n distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles. Then, the value of n is

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