The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is

2 (4!)

\frac{3 ( 7 !)}{2}

2 (7!)

^{4} P_{4} \times^{4} P_{4}

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The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is

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Text solutionVerified

According to given conditions, numbers can be formed by the following format:
The required number of numbers is

^{4} P_{4} \times^{4} P_{4}

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Question Text	The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is
Answer Type	Text solution:1
Upvotes	150

The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is

Text solutionVerified

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