A student is to answer 10 out of 13 questions | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The student needs to select $10$ questions out of $13$. The first $5$ questions are a specific group,and the remaining $8$ questions form another

Vedclass · Accepted Answer

$196$

Vedclass · Answer

(B) The student needs to select $10$ questions out of $13$. The first $5$ questions are a specific group,and the remaining $8$ questions form another group.Case $1$: Selecting $4$ questions from the first $5$ and $6$ questions from the remaining $8$.Number of ways $= {^5C_4} 	imes {^8C_6} = 5 	imes 28 = 140$.Case $2$: Selecting $5$ questions from the first $5$ and $5$ questions from the remaining $8$.Number of ways $= {^5C_5} 	imes {^8C_5} = 1 	imes 56 = 56$.Total number of choices $= 140 + 56 = 196$.

$A$ student is to answer $10$ out of $13$ questions in an examination such that he must choose at least $4$ from the first $5$ questions. The number of choices available to him is

Similar Questions

There are $n$ points in a plane of which $p$ points are collinear. How many lines can be formed from these points?

Statement-$1$: The number of ways of distributing $10$ identical balls in $4$ distinct boxes such that no box is empty is $^9C_3$.
Statement-$2$: The number of ways of choosing any $3$ places from $9$ different places is $^9C_3$.

$^{47}C_4 + \sum_{r=1}^{5} {}^{52-r}C_3 = $

In how many ways can a group of $5$ men and $2$ women be made out of a total of $7$ men and $3$ women?

Number of shortest paths from $HOSTEL$ to $ALLEN$ is equal to (as shown in the given figure):

Vedclass Test Series

Exam Paper Generator

Online Exam Module