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Combinatorics | Number Theory
Let s={1,2,3} .how many subsets does s contain?
Combinatorics | Number Theory
i have problems with iota how to solve this for example Evaluate:- i50(50 at top right corner as a power)
Combinatorics | Number Theory
Add two digits after 16 in such a way that the new 4-digit number is divisible by 3,4 and is the lowest one.Find out that new 4-digit number.
Combinatorics | Number Theory
in how many ways can a committee of 5 be formed from agroup of 11 people consisting of 4 teachers and 7 students if
- there is no restriction in the selection?
- the committee must include exactly 2 teachers?
- there is no restriction in the selection?
- the committee must include exactly 2 teachers?
Combinatorics | Number Theory
if a, b, c are any three integers such that (a,c)=1 and (b,c)=1, then show that (ab,c)=1.
Combinatorics | Number Theory
Find all integral solutions of x^2 +1≅ 1(mod 5^3).
Combinatorics | Number Theory
Find the smallest integer a>5 such that 4|a, 6|(a+1), 7| (a+2) and 8|(a+1)
Combinatorics | Number Theory
let n be any even integer. prove that n can be written in the form a-b with (a,n)=1 , (b,n)=1
Combinatorics | Number Theory
let a, b be distinct integers. Show that there exist an infinite number of integers x such that
gcd(a+x, b+x)=1.
gcd(a+x, b+x)=1.
Combinatorics | Number Theory
Let a, b, c be integers such that gcd(a, b, c)= 1. Find gcd (a+b, b+c, c).
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#340153 on Dec 2023
#340153 on Dec 2023