L. (20 Points) True or False questions. Please clearly mark the box of your choi

Question

L. (20 Points) True or False questions. Please 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

Explanation / Answer

Solution1:

8!=40320

FALSE

Solutin2:

n objects taken r at at time is npr

here n=10 r=4

10P4=10!/(10-4)!

=10!/6!

TRUE

Solution3:

P(4,1)=4!/(4-1)!=4!/3!

P(4,3)=4!/(4-3)!=4!/1!

Not equal

FALSE

solution4:

combinations is C

ncr is formula

10C5=10!/(10-5)!*5!

=252

TRUE

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