The number of six digit natural numbers that can be formed with the digits $2,3,4,0,5,6,7,8$ is

The number of six digit natural numbers that can be formed with the digits $2,3,4,0,5,6,7,8$ is
  1. $7 \times 2^{12}$
  2. $7 \times 2^9$
  3. $7 \times 2^6$
  4. $7 \times 2^{15}$

Solution

Given the digit 2, 3, 4, 0, 5, 6, 7, 8
So, number of 6 digit number $\begin{aligned} & =7 \times 8 \times 8 \times 8 \times 8 \times 8 \\ & =7 \times 2^{15} \end{aligned}$

Asked in: AP EAMCET 2023 (15 May Shift 2)

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