Q1: How many words can be formed by using 3 letters from the word “DELHI”?
Question
Q1: How many words can be formed by using 3 letters from the word “DELHI”?
Solution
To solve this problem, we need to use the concept of permutations.
Step 1: Identify the number of letters in the word "DELHI". There are 5 letters.
Step 2: We are asked to form words using 3 letters.
Step 3: The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items, and r is the number of items to choose.
Step 4: Substituting the values into the formula, we get 5P3 = 5! / (5-3)! = 5! / 2!
Step 5: Calculate 5! (which is 54321 = 120) and 2! (which is 2*1 = 2)
Step 6: Divide 120 by 2 to get the final answer.
So, 60 words can be formed by using 3 letters from the word “DELHI”.
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