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How many words can be formed from the le...

How many words can be formed from the letters of the word, TRIANGLE? How many of these will begin with `T` and end with `E ?`

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To solve the problem of how many words can be formed from the letters of the word "TRIANGLE" that begin with 'T' and end with 'E', we can follow these steps: ### Step 1: Identify the letters in the word "TRIANGLE" The word "TRIANGLE" consists of the letters: T, R, I, A, N, G, L, E. This gives us a total of 8 letters. ### Step 2: Fix the first and last letters According to the problem, we need to fix 'T' at the beginning and 'E' at the end of the arrangement. So, we have: - First letter: T ...
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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. A code word is to consist of two distinct English alphabets followed b...

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  2. In how many ways can 5 children the arranged in a row such that two of...

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  3. How many words can be formed from the letters of the word, TRIANGLE? ...

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  4. (i) How many different words can be formed with letters of the word ‘S...

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  5. In how many ways can 5 girls and 3 boys be seated in a row so that ...

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  6. How many words can be formed with the letters of the words ‘ORDINATE’ ...

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  7. When a group photograph is taken, all the seven teachers should be in ...

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  8. In a class of 10 students there are 3 girls A, B, C. In how many di...

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  9. Compute: (20 !)/(18 !)

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  10. Compute: (10 !)/(6! 10 !)

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  11. Convert the following products into factorial: 6.7.8.9.10

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  12. Convert the following products into factorial: 2.4.6.8.10

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  13. Find the LCM of 4! 5! and 6!

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  14. Compute: (30 !)/(28 !)

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  15. Compute: (11 !-10 !)/(9!)

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  16. Prove that: 1/(9!)+1/(10 !)+1/(11 !)=(122)/(11 !)

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  17. Find\ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

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  18. Find\ x in each of the following: x/(10 !)=1/(8!)+1/(9!)

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  19. Find\ x in each of the following: 1/(6!)+1/(7!)=x/(8!)

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  20. Convert the following products into factorial: 5. 6. 7. 8. 9. 10

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