Show you work!!!! SHORT ANSWER. Write the word or phrase that best completes eac
ID: 3304142 • Letter: S
Question
Show you work!!!! SHORT ANSWER. Write the word or phrase that best completes each statement or answensthe question. lo There are six baseball teams in the American League's Eastern division. In how many ways can: 3 1) three teams finish first, second, and third? 1) Cnd 3 2 -7 n A new campus project requires a commitee of 5 students which will include 2 seniors and 3 juniors. There are 6 available seniors and 8 available juniors. 2) In how many ways can the required committee be chosen? A balanced die is rolled. Find the probability of getting: 3) a value of at least two. X 3 115 3) A student is planning the music she will play at a party. If she has 15 record albums and wants to select 6 to play many ways can she select the albums if she believes that: 4) the order of the records matter?u mcHea 9 ap (a 5) the order of the records does not matter? '3,311.10 ,14 13.2-11-10 .Explanation / Answer
(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)
1. The three teams can be chosen in 6C3 = 20 ways.
They can finish first, second and third in 3! = 6 ways.
=> Total number of ways = 20 * 6 = 120.
(Another way to do this is 6P3).
2. The two seniors can be chosen out of 6 in 6C2 = 15 ways.
The three juniors can be chosen out of 8 in 8C3 = 56 ways.
Total number of commitees = 15 * 56 = 840.
3. The possible values are 1,2,3,4,5 and 6.
The probability of getting atleast 2 = 1 - probability of getting 1
= 1 - 1/6
= 5/6.
4. There are 15 records and she wants to play 6.
This can be done in 15P6 ways
= 15! / (15-6)!
= 15! / 9!
= 15*14*13*12*11*10
= 3603600 ways.
5. There are 15 records and she wants to play 6.
Since order does not matter can be done in 15C6 ways
= 15! / [(15-6)! 6!]
= 15! / [9! 6!]
= (15*14*13*12*11*10) / (6*5*4*3*2*1)
= 3603600 / 720
= 5005.
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