## Multinomial Theorem, Number of Divisors and Miscellaneous MCQ Advance Level

Compared to other sections, mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. The number of numbers of 4 digits which are not divisible by 5 are

•  7200
•  3600
•  14400
•  1800

7200

Q2. A set contains (2n+1) elements. The number of subsets of the set which contain at most n elements is

•  2n
•  2n+1
•  2n-1
•  22n

22n

Q3. The number of ways in which an examiner can assign 30 marks to 8 questions, awarding not less than 2 marks to any question is

•  21C7
•  30C16
•  21C16
•  None of these

21C7

Q4. In a certain test ai students gave wrong answers to at least i questions where i=1,2,3,....k. No student gave more than k wrong answers. The total numbers of wrong answers given is

•  a1+ 2a2+ 3a3.....+ kak
•  a1+a2+a3.....+ak
•  zero
•  None of these

a1+a2+a3.....+ak

Q5. Number of ways of selection of 8 letters from 24 letters of which 8 are a, 8 are b and the rest unlike is given by

•  27
•  8.28
•  10.27
•  None of these

10.27

Q6. The number of ordered triplets of positive integers which are solutions of the equation x+y+z=100 is

•  6005
•  4851
•  5081
•  None of these

4851

Q7. A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is

•  2m+3C3
•  1/3(m+1)(2m2+4m+1)
•  1/3(m+1)(2m2+4m+3)
•  None of these

1/3(m+1)(2m2+4m+3)

Q8. The number of divisors of the form 4n+2(n>=0) of the integer 240 is

•  4
•  8
•  10
•  3

4

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