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

M4maths Previous Puzzles

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   12 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   12 years AGO

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

Like? Yes (2) | No   

Manav   12 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   12 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   12 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   12 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   12 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)