What will be the probability to form word NOTEBOOK by using letters B,E,K,N,O,O,O and T. If you have

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05 Oct 2011 Find the probability

What will be the probability to form word NOTEBOOK by using letters B,E,K,N,O,O,O and T. If you have to make arrangement of E,N,O and T first, after then you have to arrange B,K,O and O.

OPtion

1) 1/122
2) 1/266
3) 1/288
4) 1/166
5) 3/322
6) 1/323
7) 1/12
8) 1/222
9) 1/322
10) none of these

Solution

In the first Case Probability = 1/24
similarly probability for second case = 1/12

so total probability will be = 1/24*1/12 = 1/288

Correct Option: 3 Best Solution (7)

Dr. Divya   13 years AGO

probability to form word NOTE from N,O,T,E is
1/4 *1/3 *1/2*1= 1/24
probability to form word BOOK from B,O,O,K is
1/4*2/3*1/2*1= 1/12


probability to form word NOTEBOOK by using letters B,E,K,N,O,O,O and T. If you have to make arrangement of E,N,O and T first, after then you have to arrange B,K,O and O. = (1/24)*(1/12) = 1/288

Like? Yes (4) | No   

srilatha   13 years AGO

=8p4+8p4/8factorial
=1/288

Like? Yes (2) | No   

Manav   13 years AGO

1/4 *1/3*1/2 *1*1/4*2/3*1/2*1= 1/288

Like? Yes (2) | No   

Balakumaran N.A   13 years AGO

E,N,O and T arrangement 4 ways and remaining 2letters repetition
1/4! * 1/(2*3!)= 1/288.

Like? Yes (1) | No   

faizan ahmad   13 years AGO

first we arrenge E,N,O & T in total 4x3x2x1=24 and in this manner my favourable event is 1 then first part probability is 1/24
then after we arrenge B,K,O & O in total 4x3x2x1=24 and in this manner my favourable event is 2(bcoz O comes 2 times in BOOK) then second part probability is 2/24.
then the over all probability = 1/24x2/24=1/288

Like? Yes (1) | No   

Amit Nathani   13 years AGO

E,N,O,T CAN BE ARRANGED IN 4! WAYS
B,K,O,O CAN BE ARRANGED IN 4!/2 WAYS
TOTAL WAYS=4!*4!/2=288
SO PROBABILITY TO FORM WORD NOTEBOOK=1/288

Like? Yes (1) | No (1)  

sridhar reddy   13 years AGO

first E,N,O,T later B,K,O,O
ie., the number of words can be formed is
=4!*4!/2!
=288
the probability of the word NOTEBOOK is
1/288
option is 3

Like? Yes (1) | No (1)