n how many different ways may the seven letters in the word KARACHI be arranged, if all of the letters are used each time?A.2500B.2520C.2420D.2400

To find the number of different ways the seven letters in the word KARACHI can be arranged, we can use the concept of permutations.

Step 1: Count the number of letters in the word KARACHI. In this case, there are 7 letters.

Step 2: Since all of the letters are used each time, we need to find the number of permutations of 7 letters.

Step 3: The formula to calculate permutations is n!, where n is the number of objects to be arranged. In this case, n = 7.

Step 4: Calculate 7! (7 factorial) to find the number of permutations.

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

Step 5: Therefore, there are 5040 different ways the letters in the word KARACHI can be arranged.

Since none of the given options match the calculated result, none of the options A, B, C, or D are correct.