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WBJEE · Maths · Permutation Combination

From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is

  1. A \(284 \times 17\)
  2. B \(285 \times 17\)
  3. C \(284 \times 16\)
  4. D \(285 \times 16\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(284 \times 17\)

Step-by-step Solution

Detailed explanation

Given, numbers are \(1,2,3 \ldots \ldots .20\) Here, number of ways of selecting four consecutive numbers \(=17\) \(\because\) Required number of selecting 4 non-consecutive…