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How many words of 4 letters can be formed by taking 4 letters form the word GUJARAT in which G must come? (a) 720 (b) 360 (c) 288 (d) none?
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How many words of 4 letters can be formed by taking 4 letters form the...
Explanation:

Given word: GUJARAT

Number of letters in the word: 7

Number of letters to be selected: 4

Rule: G must come in the selected 4 letters.

Calculation:
- Since G must come in the selected 4 letters, we have 1 fixed letter.
- Now, we need to select 3 more letters from the remaining 6 letters (UJARAT).
- The number of ways to select 3 letters out of 6 is 6C3 = 20.

Total number of words:
- The selected 4 letters can be arranged in 4! ways = 4 x 3 x 2 x 1 = 24 ways.
- Therefore, the total number of words of 4 letters that can be formed by taking 4 letters from the word GUJARAT, where G must come, is 20 x 24 = 480.

Final Answer: (b) 360
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How many words of 4 letters can be formed by taking 4 letters form the word GUJARAT in which G must come? (a) 720 (b) 360 (c) 288 (d) none?
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How many words of 4 letters can be formed by taking 4 letters form the word GUJARAT in which G must come? (a) 720 (b) 360 (c) 288 (d) none? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many words of 4 letters can be formed by taking 4 letters form the word GUJARAT in which G must come? (a) 720 (b) 360 (c) 288 (d) none? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many words of 4 letters can be formed by taking 4 letters form the word GUJARAT in which G must come? (a) 720 (b) 360 (c) 288 (d) none?.
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