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An eight digit number is formed from 1, ...

An eight digit number is formed from `1, 2, 3, 4` such that product of all digits is always `3072,` the total number of ways is `(23. 8C_k),` where the value of k is

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To solve the problem step by step, we need to find the number of ways to form an 8-digit number using the digits 1, 2, 3, and 4 such that the product of all digits equals 3072. ### Step 1: Factorization of 3072 First, we need to factor 3072 to understand how many of each digit we can use. \[ 3072 = 3 \times 2^{10} \] ...
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