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Combinatorics | Number Theory
a fraternity is to elect a president and treasurer from a group of 40 members.how many was can those two officers be elected?
Combinatorics | Number Theory
In a group of 50 people; 35 speak Hindi, 25 speak both English and Hindi and all people speak at least one of the two languages. how many people speak only English and not Hindi? How many people speak English?
Combinatorics | Number Theory
How many solutions are there to the equation
x1+x2+x3+x4+x5=21,
where xi, i=1, 2, 3, 4, 5, is a non negative integer such that
b) xi≥1 for i=1, 2, 3, 4, 5?
c) 0≤x1≤11?
x1+x2+x3+x4+x5=21,
where xi, i=1, 2, 3, 4, 5, is a non negative integer such that
b) xi≥1 for i=1, 2, 3, 4, 5?
c) 0≤x1≤11?
Combinatorics | Number Theory
The LCM (Least Common factor) of two numbers is 1260 and their GCD (Greatest Common Divider) is 18. One of the numbers is 180. Find the other number.
Combinatorics | Number Theory
1. A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?
Combinatorics | Number Theory
number lying between 700 and 1100 which are divisible by 9,12 and 21
Combinatorics | Number Theory
600 students took test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also in physics, then how many students failed in both.
Combinatorics | Number Theory
what is the digit at the tens place of (2183)^2156
Combinatorics | Number Theory
let a, b be two integers such that a|b and b|a. What can you say about a and b? Prove your statement
Combinatorics | Number Theory
A table has 7 seats, 4 placed on one side facing towards window and 3 placed on the opposite side. In how many ways can 7 people be seated at the table if 3 people x,y and z have to be seated on the side facing towards window?
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