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Combinatorics | Number Theory
If a set A has n elements, then number of functions that can be defined from A into A is
a) n^2
b) n!
c) n^n
d) n
a) n^2
b) n!
c) n^n
d) n
Combinatorics | Number Theory
If a set A has 3 elements and set B has 4 elements, then number of injections that can be defined from A into B is
a) 144
b) 12
c) 24
d) 64
a) 144
b) 12
c) 24
d) 64
Combinatorics | Number Theory
I'm confused by the fact that if we square all the numbers between 2 and 3 then they will lie between 4 and 9. Therefore can we say that the number of numbers between 2 and 3 is more than that between 4 and 5(say)?
Combinatorics | Number Theory
Using a pool of problems, 20 tests will be formed.
-Every test should have the same number of problems.
-Any problem should be included in at most 10 tests.
-For every 5 tests, there should be at least 2 problems common to all of them.
What can be the minimum number of problems in this pool?
-Every test should have the same number of problems.
-Any problem should be included in at most 10 tests.
-For every 5 tests, there should be at least 2 problems common to all of them.
What can be the minimum number of problems in this pool?
Combinatorics | Number Theory
The number of different signals which can be given from 6 flags of different colors taking one or more at a time, is
a)1958
b)1956
c)16
d)64
a)1958
b)1956
c)16
d)64
Combinatorics | Number Theory
In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes?
a)1024
b)625
c)120
d)600
a)1024
b)625
c)120
d)600
Combinatorics | Number Theory
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
a)60
b)120
c)7200
d)none of these.
a)60
b)120
c)7200
d)none of these.
Combinatorics | Number Theory
How many three digit numbers can be formed using the digits from 1 to 6 so that the
digits are in increasing order from left to right and for any odd digit appearing in that
number there is at least one even digit placed left to it? One digit can be used only once.
digits are in increasing order from left to right and for any odd digit appearing in that
number there is at least one even digit placed left to it? One digit can be used only once.
Combinatorics | Number Theory
Consider the sequence 1, 2, 3, … k. You have to put a ‘+’ or ‘–’ sign between these
numbers so that the sum becomes zero (e.g. if k is 4, you can do it like 1 – 2 – 3 + 4 = 0).
For how many values of k between 2001 and 2100 (both inclusive) this can be done?
numbers so that the sum becomes zero (e.g. if k is 4, you can do it like 1 – 2 – 3 + 4 = 0).
For how many values of k between 2001 and 2100 (both inclusive) this can be done?
Combinatorics | Number Theory
If a number remains unchanged when reversed, it is called a palindrome. 33, 23432, 191
are examples of palindromes. What is the smallest palindrome greater than 2012 ?
are examples of palindromes. What is the smallest palindrome greater than 2012 ?
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#340153 on Dec 2023
#340153 on Dec 2023