Question

In a certain lottery, 3 different numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is unimportant.

Answer 1

1287

Explanation:

Answer 2

`286`

Explanation:

GIVEN: In a certain lottery,
`3` different numbers between
`1` and
`13` inclusive are drawn. These are the winning numbers.

TO FIND: How many different selections are possible.

SOLUTION:

Total different numbers
`=13`

Total number to select
`=3`

As order does not matter

Total different selection possible
`=13C_3`

`=(13!)/(10!3!)`

`=(13*12*11)/(6)`

`=286`

There are
`286` ways in which different selection is possible.