Question

Three numbers from 1 to 15 arechosen randomly. Find number of ways if no two areconsecutive

Answer 1

Answer:

The total number of ways of selecting 3 numbers from 15 numbers is = 15

C

3

=455.

The favourable outcomes are

(1,2,3),(2,3,4),....,(13,14,15)⇒13 possible outcomes

Required probability =

455

13

= 35

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Answer 2

Step-by-step explanation:

There are many ways in which the three numbers are not consceutive like 3,5,9 and 4,7,10

Just a try from my side...