Question

Q Eleven students put their names on slips of paper inside a box. Three names
are going to be taken out. How many different ways can the three names be
chosen *
136
O 116
160
O 165​

Answer 1

Answer:

one hundred sixty five (165)

Answer 2

We recall the concept of combination.

Combination: It is a way of selecting objects from a collection.

Given:

There are total $11$ names

We have to select $3$ from $11$ names

No. of ways$=11C_{3}$

$=\frac{11!}{3!8!}$

$=\frac{11*10*9}{3*2}$

$=165$

Three names can be chosen in $165$ ways