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 $13$ with the condition that at least $4$ must be chosen from the first $5$ questions.Case $I$:

Vedclass · Accepted Answer

$196$

Vedclass · Answer

(B) The student needs to select $10$ questions out of $13$ with the condition that at least $4$ must be chosen from the first $5$ questions.Case $I$: 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 $II$: 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

The number of ways in which any four letters can be selected from the word '$CORGOO$' is

An examiner can assign $30$ marks to $8$ questions. If he does not assign less than $2$ marks to any question,in how many ways can he assign the marks?

The number of ordered triplets of positive integers which are solutions of the equation $x + y + z = 100$ is

The value of ${ }^{16} C_{9}+{ }^{16} C_{10}-{ }^{16} C_{6}-{ }^{16} C_{7}$ is

$^{n-1}C_3 + ^{n-1}C_4 > ^nC_3$,then the value of $n$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module