From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
(A) 284 × 17
(B) 285 × 17
(C) 284 × 16
(D) 285 × 16
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From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
(A) 284 × 17
(B) 285 × 17
(C) 284 × 16
(D) 285 × 16
From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
(A) 284 × 17
(B) 285 × 17
(C) 284 × 16
(D) 285 × 16
The correct option (A) 284 × 17
Explanation:
1, 2, 3, 4, ……………… 20
there are 17 way for four consecutive
number number ways = 20C4 – 17
= 285 × 17 – 17
= 284 × 17