Question

There are 10 students in a class. The teacher chooses 2 students to go to the

Answer 1

Answer:

The number of ways in which students were chosen is 45 ways .

Step-by-step explanation:

Given as :

The number of students in a class = x = 10

The number of students chosen by teacher to go to library = y = 2

Let The number of ways in which students were chosen = n ways

Now, According to question

So,  number of ways in which students were chosen = $_{y}^{x}\textrm{C}$

Or, n ways =  $_{2}^{10}\textrm{C}$

Or, n  = $\frac{\L 10}{\L( 10-2)\times \L 2}$

Or, n =  $\frac{\L 10}{\L8\times \L 2}$

Or, n =  $\frac{10\times 9\times \L 8}{\L 8\times \L 2}$

Or, n = $\frac{10\times 9}{2\times 1}$

Or, n = 5 × 9

i.e n = 45

So, The number of ways in which students were chosen = n = 45 ways

Hence,The number of ways in which students were chosen is 45 ways . Answer