Question

there are 10 question in question paper in how many different ways student can attempt 7 question from Paper​

Answer 1

Given,

Total number of questions in a question paper = 10

To Find,

Different ways a student can attempt 7 questions from the paper​ =?

Solution,

We can solve the question as follows:

To find the number of combinations in which a student can attempt 7 questions out of 10 we use the formula,

ⁿ$C_{r}$ $= \frac{n!}{r!(n-r)!}$

Here, ⁿ$C_{r}$ $=$ Number of combinations

             $n =$ Total number of objects

              $r =$ Number of objects chosen

In the given question, $n = 10, r = 7$.

Substituting the values in the above formula,

¹⁰$C_{7}$ = $\frac{10!}{7!(10-7)!}$

       $= \frac{10!}{7!3!}$

       $= \frac{10 *9*8}{3*2*1}$

        $= 120$

Hence, the student can attempt 7 questions in 120 different ways.