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How many different words can be formed using the letters of the word BHARAT, which begin with B and end with T?
- a)36
- b)16
- c)24
- d)12
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many different words can be formed using the letters of the word B...
If the first & last letter is fixed, then we find out, the number of permutations of the remaining letters, i.e. 4
= 4!/2!
= 4*3*2!/2!
= 12
= 4!/2!
= 4*3*2!/2!
= 12
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Community Answer
How many different words can be formed using the letters of the word B...
To find the number of different words that can be formed using the letters of the word BHARAT, which begin with B and end with T, we can follow these steps:
Step 1: Identify the fixed positions
Since the word must begin with B and end with T, these two letters are fixed in their respective positions. So, we have the word structure as B _ _ _ _ _ T.
Step 2: Count the number of available letters
We have 6 letters in total, but since B and T are already fixed, we have 4 remaining letters: H, A, R, and A.
Step 3: Find the number of permutations
To find the number of different words that can be formed using these remaining letters, we need to find the number of permutations.
There are 4 remaining letters, so we have 4 choices for the first blank, 3 choices for the second blank, 2 choices for the third blank, and 1 choice for the fourth blank.
Therefore, the number of permutations is: 4 x 3 x 2 x 1 = 24.
Step 4: Multiply by the number of fixed positions
Since we have 1 fixed position for the letter B and 1 fixed position for the letter T, we need to multiply the number of permutations by 1 x 1.
Therefore, the total number of different words that can be formed is: 24 x 1 x 1 = 24.
So, the correct answer is option (c) 24.
Step 1: Identify the fixed positions
Since the word must begin with B and end with T, these two letters are fixed in their respective positions. So, we have the word structure as B _ _ _ _ _ T.
Step 2: Count the number of available letters
We have 6 letters in total, but since B and T are already fixed, we have 4 remaining letters: H, A, R, and A.
Step 3: Find the number of permutations
To find the number of different words that can be formed using these remaining letters, we need to find the number of permutations.
There are 4 remaining letters, so we have 4 choices for the first blank, 3 choices for the second blank, 2 choices for the third blank, and 1 choice for the fourth blank.
Therefore, the number of permutations is: 4 x 3 x 2 x 1 = 24.
Step 4: Multiply by the number of fixed positions
Since we have 1 fixed position for the letter B and 1 fixed position for the letter T, we need to multiply the number of permutations by 1 x 1.
Therefore, the total number of different words that can be formed is: 24 x 1 x 1 = 24.
So, the correct answer is option (c) 24.
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How many different words can be formed using the letters of the word BHARAT, which begin with B and end with T?a)36b)16c)24d)12Correct answer is option 'D'. Can you explain this answer?
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