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

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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

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1 Answer

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Best answer

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

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