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NDA Mathematics Permutation Combination 2026 NDA 2026 (Phase 1)

NDA Mathematics Question (2026) — Solution

Question

Passage: A 4-digit number is selected at random formed by using the digits 0, 1, 2, 3 and 4 (where repetition of digits is not allowed). Question: What is the probability that the number selected does not contain zero at any position ?

Options

  1. A. 0 12
  2. B. 0 25
  3. C. 0 375
  4. D. 0 45

Answer

B. 0 25

Step-by-step solution

The total number of 4-digit numbers formed using the digits 0, 1, 2, 3, 4 without repetition is calculated by filling the thousands place in 4 ways (excluding 0) and the remaining 3 places in ^ 4 P_ 3 ways. Total outcomes = 4 4 3 2 = 96 The number of 4-digit numbers formed without using 0 at any position means using only the digits 1, 2, 3, 4. Favorable outcomes = ^ 4 P_ 4 = 4 3 2 1 = 24 Required probability = 24 96 = 1 4 = 0.25 Answer: 0 25

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