Question:

The total number of 4-digit numbers in which the digits are in descending order is

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Strict order removes permutations.
Updated On: Mar 23, 2026
  • \({}^{10}C_4 \times 4!\)
  • \({}^{10}C_4\)
  • \(\dfrac{10!}{4!}\)
  • None of these
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The Correct Option is B

Solution and Explanation


Step 1:
Choose any 4 distinct digits from 0–9.
Step 2:
For each choice, descending order is fixed. \[ \Rightarrow \text{Number} = {}^{10}C_4 \]
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