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The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E?
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The letters of the word MALENKOV are arranged then what is the probabi...
Calculating the Probability of 4 words between M and E in MALENKOV
To calculate the probability of having exactly 4 words between M and E in the word MALENKOV, we need to consider the total number of arrangements of the letters in the word.
Total number of arrangements of MALENKOV
- The word MALENKOV has 7 distinct letters.
- Therefore, the total number of arrangements of the letters in MALENKOV is 7!.
Number of ways to have 4 words between M and E
- To have exactly 4 words between M and E, we can consider M and E as fixed points in the arrangement.
- Therefore, the number of ways to arrange the remaining 5 letters (A, L, N, K, O, V) with 4 words between M and E is (5! * 5!).
Calculating the Probability
- The probability of having exactly 4 words between M and E is the number of ways to have 4 words between M and E divided by the total number of arrangements of MALENKOV.
- Therefore, the probability = (5! * 5!) / 7!.
Simplifying the Probability
- We can simplify the probability by calculating the factorials and dividing them to get the final probability value.
By following these steps, we can calculate the probability of having exactly 4 words between M and E in the word MALENKOV.
To calculate the probability of having exactly 4 words between M and E in the word MALENKOV, we need to consider the total number of arrangements of the letters in the word.
Total number of arrangements of MALENKOV
- The word MALENKOV has 7 distinct letters.
- Therefore, the total number of arrangements of the letters in MALENKOV is 7!.
Number of ways to have 4 words between M and E
- To have exactly 4 words between M and E, we can consider M and E as fixed points in the arrangement.
- Therefore, the number of ways to arrange the remaining 5 letters (A, L, N, K, O, V) with 4 words between M and E is (5! * 5!).
Calculating the Probability
- The probability of having exactly 4 words between M and E is the number of ways to have 4 words between M and E divided by the total number of arrangements of MALENKOV.
- Therefore, the probability = (5! * 5!) / 7!.
Simplifying the Probability
- We can simplify the probability by calculating the factorials and dividing them to get the final probability value.
By following these steps, we can calculate the probability of having exactly 4 words between M and E in the word MALENKOV.
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The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E?
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The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E?.
The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The letters of the word MALENKOV are arranged then what is the probability that there are exactly 4 words between M and E?.
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