1. How many different lunches that include a sondwich, fruit and a drink, can be
ID: 2909347 • Letter: 1
Question
1. How many different lunches that include a sondwich, fruit and a drink, can be packed if there are A. 45 2. How mony ways you choose 3 shells from a group of 8? 3 sondwiches, 5 fruits and 3 drinks to choose from? 8. 9 C,11 D. 30 E. None A. 336 B. 27 C. 8 b. 56 E. None 3. How many ways con 8 people line up to get tickets to a Red Sox game? A. 56 B. 572 C. 40,320 E. None 4. How many ways to select 3 umbrellas out of 6 to line up for display at the beach? B. 20 C. 3 D. 220 E. None A. 720 5 Out of 8 pies that were submitted in a pie contest, how mony ways can the first, second, third A. 70 and fourth prizes be given out? B. 1680 C. 210 D. 2 E. None Use for #6 #8 There are a group of 10 shells, 5 urchin spines, 3 sundials and 2 vole shells A biologist must select 4 shells 6. How many different ways can 4 shells be picked? A. 210 B. 40 C. 24 D. 56 E. None 7. How many different ways can 1 urchin spine and 3 sundials be picked? A. 3 8. 15 C. 5 D. 8 E. None 8. A. How many different ways con exactly 1 urchin spine be picked ? 5 8. 50 C. 15 D. 3 E. None Use for #9-#11 A company requires each of their employees to have a three digits PIN number using the digits (O, 1, 2, 3. 4. 5, 6, 7, 8, 9) 9. How many different PINs can be formed if repeat is allowed? A. 1000 8. 9 ?. 720 D. 10 E None 10. How many different PINs can be formed if it must begin with a O, and there is no repeat. A. 72 8. 57 b. 90 E. None 11. How many different PINs can be formed if no repeat is allowed and it must begin with a 0 and end with a 1 A. 7 B. 10 C. D. 8 E NoneExplanation / Answer
1:
The number of different lunches is:
3*5*3 = 45
2:
Number of ways selecting 3 shells out of 8 is
C(8,3) = 56
3:
Number of ways of lineup of 8 peoples is:
8*7*6*5*4*3*2*1 = 40320
4:
Number of ways of selecting 3 umbrella out of 6 is
C(6,3) = 20
5:
First prize can be selected in 8 ways, second prize can be selected in 7 ways, third prize can be selected in 6 ways, fourth prize can be selected in 5 ways so possible number of given prizes is
8*7*6*5 = 1680
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