Test Details

Permutations and Combinations

Objective

Jan 23, 11:00 AM

90 minutes

Jan 23, 12:30 PM

20.0 marks

MCQ

10 questions

Suraj

I have 5 year teaching experience of mathematics of jee mains and advanced, cbse board, icse board, up board, cg board along with arithmetic.

Class Details

Mathematics

Class 11

Mathematics

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Question Text

Question 1 :
A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is:

Question 2 :
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 3 :
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 4 :
The number of nine digit numbers that can be formed with different digits is

Question 5 :
Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series?

Question 6 :
The sum of the digits at the ten's place of all the all the numbers formed with the digits $3, 4, 5, 6$ taken all at a time is

Question 7 :
Assertion: If the postman delivers 1332 card to the students then number of students are 36. Reason: If there are n students then total number of cards are n (n-1).

Question 8 :
There are $8$ true/false questions in an examination.The number of ways in which this questions can be answered, is

Question 9 :
The rank of the word $NUMBER$ obtained, if the letters of the word $NUMBER$ are written in all possible orders and these words are written out as in a dictionary is<br/><br/>

Question 10 :
A college offers $7$ courses in the morning and $5$ in the evening. Find possible number of choices with the student who want to study one course in the morning and one in the evening.

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