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

$A$ number lock consists of three rings. If the $1^{st}$ ring is marked with digits $0$ to $9$,the $2^{nd}$ ring is marked with prime numbers greater than $2$ but less than $30$,and the $3^{rd}$ ring is marked with all vowels,find the total number of unsuccessful attempts.

If $n$ and $r$ are two positive integers such that $n \ge r,$ then $^nC_{r-1} + ^nC_r = $

In how many different ways can the letters of the word '$OFFICES$' be arranged?

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

The number of nine-digit even natural numbers formed using only the digits $0$ and $1$, such that no two consecutive digits are $0$, is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module