Show, using the pigeonhole principle, that in any group of 30 people, 5 people can always be found who were born on the same day of the week.
There are 7 days in a week, so each person must have been born on one of these 7 days. This situation can ________ _____ _________ _________ ______ _____ ___ ________.
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Make truth table for followings.
i)p→(~r^~q)^(pvr)
ii)p(rv~q) (~p^~r)
Write down suitable mathematical statement that can be represented by the following symbolic properties.
i)
ii)
iii)
iv)
Define the terms Domain, Co-domain and Range in the context of a function. Also find the domain, co-domain and range for a function A to B, where A={1,2,3,4,5} and ={1,4,9,16,25}.
Write the following statements in symbolic form:
(i) Mahesh is hardworking student therefore he is a good performer.
(ii) Either exercise regularly or be ready for poor health.
Explain circular permutation and its application in problem solving with en example.
What is proposition?
i) Write any two statements which are not proposition.
ii) Write any two statements which are proposition.
Find how many 3 digit numbers are even?