Question

Si de un grupo de 15 personas se quieren seleccionar 13 ¿De cuántas maneras distintas pueden ser seleccionadas?​

Answer 1

Using the combination formula, the number of different ways to select 13 people from a group of 15 is 105.

Using the combination formula:

`_n C_r=(n !)/(r ! (n-r) !)`

`_n C_r` = number of combinations

`n` = total number of objects in the set

`r` = number of choosing objects from the set

Here n = 15 and r = 13.

15C13

= 15! / (13! * (15-13)!)

= 15! / (13! * 2!)

= (15 * 14) / 2

= 105

Thus, there are 105 different ways to select 13 people from a group of 15.

Complete Question:

If you want to select 13 from a group of 15 people, how many different ways can they be selected?​