PS : Probability # 3 : PS Archive
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# PS : Probability # 3

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CEO
Joined: 15 Aug 2003
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PS : Probability # 3 [#permalink]

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14 Sep 2003, 02:22
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my answers are in yellow..check 'em later..

y'all have a total of 1.5 minutes to do both of these.

Time starts now !

3 men, 3 women, select 4 people, what is the probability that the number of men is equal to the number of women?

Is it 3/5 ?

Five alphabets D I G I T can be made into how many combination so
that the two I will be separated at least by one alphabet?

Do we consider each I to be unique?

5! - (the # of ways in which the two "unique" I's are together)

5! - 4! * 2 = 72

Is this correct ?

thanks
praetorian
Senior Manager
Joined: 21 Aug 2003
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Location: Bangalore
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Kudos [?]: 10 [0], given: 0

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14 Sep 2003, 02:50
i took 2.5 minturtes

1) 3/5 is correct
No of way for two men and two women to be equal i.e. 2M,2W =
3C2*3C2 -----------1
Total way to select 4 people = 6C4 -------------- 2
Thus, Probability = eq 1/eq 2 = 3/5

2) Why do u consider two I's unique, they are same..!!
Total ways = 5!/2 = 60
Ways in which I are together = 4! =24
Total ways in which I are not together = 60 -24 = 36
The same question can be made more interesting (or intimidating.. ) if its phrased like this:
Q - If five alphabets of DIGIT are used to form all possible words and one such word is picked at random, what is the probability that two I's are together in it. (Ans: 36/60 = 3/5)
-Vicks
ps: praet how do u solve that PS: oranges problem.. it is making me mad... give ur solution..
14 Sep 2003, 02:50
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