please can some1 help me wiv this question
in a set of 30 people, 21 prefer tea, 9 prefer coffee and 16 have sugar in their tea
if P = {people who prefer tea}
Q = {people who prefer coffee}
R = {people who take sugar}
calculate
(i) [P]
(ii) [R]
heres another similar question i am having problems with
in a set of 35 people, 23 are wearing hats, 25 are wearing gloves and 30 are wearing either hats or gloves.
how many people are wearing:
(i) both hat and gloves
(ii) neither hat or gloves
i know these questions have something to do with set theory and Venn diagrams please would you be able to explain how you found the answers thanks.
i know that i have to use Venn diagrams AnB and AuB then put the numbers in the corresponding set and put the numbers in the middle were they apply to both sets and then erm dont really know. this isnt homework or anything its revision for an exam so if you give me the answer i wont get a mark for it however i will know what to do in the exam when i am given the question. lol