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Question

The number of arrangements that can be made using all the letters of the word QUARTZ which begin with A but do not end with R is

A
36
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B
96
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C
48
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D
24
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Solution

The correct option is B 96
Given letters are Q,U,A,R,T,Z=6 letters.
We need to find 6 lettered words that start with A and does not end with R.
The first letter is fixed (A), the last letter can be any of the remaining 5 except R.
So, we have 4 choices for the last letter.
For the remaining 4 places, the 4 remaining letters can be used in 4! ways.
Total =4×4!=96.
Hence, the answer is 96.

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