3. In a small geology class, each of the 4 students must write a report on one o

Question

3. In a small geology class, each of the 4 students must write a report on one of 8 field trips. In how many different ways can they each chose one of the field trips if (a) no 2 students may choose the same field trip (b) there are no restrictions on their choice? (M&F; 3.19) A carton of 12 rechargeable batteries contains one which is defective. In how many ways can an inspector choose 3 of the batteries and (a) not get the one which is defective (b) get the defective battery 4. M&F; 3.25) Hint: find out how many ways to select 3 out of 12 batteries, and how many to select 3 out of the 11 good ones. 5. When we roll a pair of balanced dice, what are the probabilities of getting the two dice to add up to (a) 7 (b) 11; (c) 7 or 11; (d) 3; (e) 2 or 12; (f 2, 3 or 12 M&F; 3.29)

Explanation / Answer

3 A) 8P4 =8!/4! = 1680

B) 84 = 4096

4 A) 11C3 = 11!/3!(11-3)! =165

B)11c2 *1c1 = 55

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