Determine whether the given statement makes sense or does not make sense, and ex

Question

Determine whether the given statement makes sense or does not make sense, and explain your reasoning. I estimate there are approximately 10,000 ways to arrange the letters A, B, C, D, E, ..., X, Y, Z Choose the correct answer below. A. This statement makes sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to 26 + 25 + ... + 2 + 1 and this value is approximately 10,000. B. This statement does not make sense because according to the Fundamental Counting Principle, the number of ways to arrange the letters is equal to 26 + 25 + ... + 2 + 1 and this value is much less than 10,000. C. This statement makes sense because according to the Fundamental Counting Principe, the number of ways to arrange letters is equal to 26 + 25 + ... + 2 + 1 and this value is approximately 10,000. D. This statement does not make sense because according to the Fundamental Counting Principle, the number or ways to arrange the letters is equal to 26 + 25 + ... + 2 + 1 and this value is much greater than 10,000.

Explanation / Answer

According to fundamental principle of counting ways to arrange 26 letters will be = 26*25*24*23......3*2*1 which is much much greater than 10000.

Thus our answer is D.

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