Find the total number of ways to form a 4 digit number(without repetition) from the digits 0,1,2, ..., 6.6 + ⁶P₃⁷P₄5 x ⁵P₃6 x ⁶P₃

Question

Find the total number of ways to form a 4 digit number(without repetition) from the digits 0,1,2, ..., 6.6 + ⁶P₃⁷P₄5 x ⁵P₃6 x ⁶P₃
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Solution 1

The problem can be divided into two cases:

Case 1: The 4-digit number does not start with 0. In this case, the first digit can be any of the 6 non-zero digits (1,2,3,4,5,6), and the remaining 3 digits can be any of the remaining 6 digits. So, the total number of ways is 6P1 * 6P3.

Case 2: The 4-di Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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