The letters e, e, g, m, t can be used to form 5 leters such as meget or mgeet.
You have to use these letters to form 5 letter strings such that two occurrences of the letter E are seperated by atleast one letter. Determine how many strings can be formed
Answers
Answer:
36
Explanation:
using permutations and combinations formula..
no repiation
Answer:
Total number of words that can be formed 5 letter strings such that two occurrences of the letter E are separated by at least one letter is 36.
Explanation:
Letters to be used = E E G M T
We have to form words such that the E's are separated by at least 1 letter.
Therefore, the following cases occur:
1. The E's are separated by 1 letter.
The possibilities are:
E _ E _ _
_ E _ E _
_ _ E _ E
=> Therefore, no. of words = (1 *3 *1 *2 *1) + (3 *1 *2 *1 *1) + (3 *2 *1 *1 *1 )
= 6 + 6 + 6
= 18 words
2. The E's are separated by 2 letters.
The possibilities are:
E _ _ E _
_ E _ _ E
=> Therefore, no. of words = (1 *3 *2 *1 *1) + (3 *1 *2 *1 *1)
= 6 + 6
= 12 words
3. The E's are separate by 3 letters.
The possibilities are:
E _ _ _ E
=> Therefore, no. of words = (1 *3 *2 *1 *1)
= 6
= 6 words
Therefore, total words = 18 + 12 + 6
= 36 words
Therefore, total number of words that can be formed 5 letter strings such that two occurrences of the letter E are separated by at least one letter is 36.