True or false questions. clearly mark the box of your choice. we will use p(n, r) for the number of permutations of a set of n objects taken r at the time and c(n. r) for the number of combinations of a set of n objects taken r at the time. 1. the number of permutations of a set of 8 distinct elements is 4302. 2. p(10,4)-101/6! 3. p(4,1) p(4,3) 4. the number of combinations of ten objects taken five at the time is 252. 5. a lunch-time special offers three types of sandwiches, two types of soups and two desert options. the number of lunch choices of sandwich-soup-desert is 8 6. if n = 10 and m = 6, then c(nm) p(nm). 7. the number of distinguishable permutations of the letters in the word 'substitute is 101-30240. 5! 8. the sample space of the experiment that consists of drawing two cards from a full deck (52 cards in a full deck) with replacement has 522 elements. 9. ifs (hh tt, ht, ht) is the sample space of a two-coin toss, then the probability d of tossing a head and a tail in any order is 1/2. 10, a quality control department selects 100 ink-cartridges for inspection and places them ? ? in 12 bins, numbered 1-12 in no particular order, one corresponding to each inspector then one or more inspectors will have at least 9 cartridges to inspect