Friday, June 4, 2021


5 Most important question regarding Permutations and Combination.

1. Find out the number of words which can form latters of word 'LARGE' if repetiation is not allowed.

 Solution: Given that a word LARGE in which we have five distinct latters such that L,A,R,G and E.

Now we want to form words in which five latters and repetiation not allowed.

So we have five places such that _ _ _ _ _

Now the number of way to fill first places = 5

Number of way to fill second place = 4

Number of way to fill third place = 3

Number of way to fill fourth place = 2

And number of way to fill fifth place = 1

Hence the total number of words = 5×4×3×2×1 = 120.


2.Find out number of words which can form with latters of word 'WATCH' if repetiation is allowed.

Solution: Given that a word 'WATCH' in which we have five distinct latters such that W,A,T,C and H.

Now we want to form words in which five latters and repetiation is allowed.

So we have five places such that _ _ _ _ _ 

Now the number of way to fill first place = 5

Number of way to fill second place = 5

Number of way to fill third place = 5

Number of way to fill fourth place = 5

And the number of way to fill fifth place = 5

Hence the total number of words =5×5×5×5×5 = 3125.

3.Find out number of words which can form with latters of word 'FAMOUS' if repetiation is not allowed.

Solution: Given that a word 'FAMOUS'in which we have five distinct latters such that F,A,M,O,U and S.

Now we want to form words in which six latters and repetiation not allowed.

So we have six places such that _ _ _ _ _ _

Now the number of way to fill first places = 6

Number of way to fill second place = 5

Number of way to fill third place = 4

Number of way to fill fourth place = 3

 Number of way to fill fifth place = 2

And the number of way to fill sixth place = 1.

Hence the total number of words = 6×5×4×3×2×1 =720.

4.Find out number of words which can form with latters of word 'NEPAL' if repetiation is allowed.

Solution: Given that a word 'NEPAL' in which we have five distinct latters such that N,E,P,A and L.

Now we want to form words in which five latters and repetiation is allowed.

So we have five places such that _ _ _ _ _ 

Now the number of way to fill first place = 5

Number of way to fill second place = 5

Number of way to fill third place = 5

Number of way to fill fourth place = 5

And the number of way to fill fifth place = 5

Hence the total number of words =5×5×5×5×5 = 3125.

5 .Find out number of words which can form with latters of word 'SPRITE' if repetiation is allowed.

Solution: Given that a word 'SPRITE' in which we have five distinct latters such that S,P,R,I,T and E

Now we want to form words in which six latters and repetiation is allowed.

So we have five places such that _ _ _ _ _ _

Now the number of way to fill first place = 6

Number of way to fill second place = 6

Number of way to fill third place = 6

Number of way to fill fourth place = 6

 Number of way to fill fifth place = 6

And number of way to fill sixth place = 6

Hence the total number of words =6×6×6×6×6×6 = 46656.


Sarkari job gyaan

Author & Editor

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