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.
(i) Let: *p*: Mahesh is a hardworking _____ __________ _________ ____ ________ ________ _____.
_______ _______ _______ ______ __________ ________ __________ ______ ____ ________.
__________ _____ ____ __________ ________ _______ _________.
____ _______ __________ __________ ________ __________.
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Let fand g be the two functions such that Define fof, fog, gof and gog.
Make truth table for followings.
i)p→(~r^~q)^(pvr)
ii)p(rv~q) (~p^~r)
How many words can be formed using letter of "DETERMINATION" using each letter at most once?
i) If each letter must be used,
ii) If some or all the letters may be omitted.
Prove that
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.
What is Power Set? Find P(A) for A = { a,b,c,d,e,f)
Explain applications of inclusion-exclusion principle with example.