a). How many different ways can student guess the answers to two True or Flase q
ID: 2960411 • Letter: A
Question
a). How many different ways can student guess the answers to two True or Flase question?
b).There are 5boys and 6girls in a class,how many different boy-girl date are possible?
c).How many ways can the letters in the word SUCCESS be arranged?
d).How many two-digit numbers can be formed with the numerals 2,5,4,7,6?
e).How many of the numbers in (d)are odd?
f).How many differen committees can be formed with Ray,susan,Mark and Peter if only 3 people can be on a committee?
g).What is the smallest number of people that must be in a room to be absolutely sure that at least two people were born on the same day in january?
h).How many ways can 5 friends form a line at a ticket counter to buy tickets to see a movie?
i).A multiple choice test has five choices,(a),(b),(c),(d) and (e). what is the probability of guessing on a question and getting it correct?
j).There are 8boys and 3girls in a family.How many ways can the gender of 11 children be arranged?
Explanation / Answer
a) 4 (TT,FF,TF,FT)
b) 5C1*6C1=30
c)7P7/(3!*2!)
=420
d)5P1*4P1=20 (no repitions)
e) 4P1*2P1=8
f)4P3=24
g)real answer: infinity
answer they expect is based on probability that 2 people are born on the same day..
P(same day)=(1/31)*(1/31)
therefore there should be 312=961 people.
h)5P5=120
i)1/5=0.2
j)11P11/(8!*3!)=165
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