In an examination,a question paper consists o | vedclass

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

Question

(A) The question paper has $12$ questions: Part $I$ ($5$ questions) and Part $II$ ($7$ questions).$A$ student must select $8$ questions in total,with

Vedclass · Accepted Answer

$420$

Vedclass · Answer

(A) The question paper has $12$ questions: Part $I$ ($5$ questions) and Part $II$ ($7$ questions).$A$ student must select $8$ questions in total,with at least $3$ from each part. The possible combinations are:$(a)$ $3$ questions from Part $I$ and $5$ questions from Part $II$: $^{5}C_{3} 	imes ^{7}C_{5} = 10 	imes 21 = 210$ ways.$(b)$ $4$ questions from Part $I$ and $4$ questions from Part $II$: $^{5}C_{4} 	imes ^{7}C_{4} = 5 	imes 35 = 175$ ways.$(c)$ $5$ questions from Part $I$ and $3$ questions from Part $II$: $^{5}C_{5} 	imes ^{7}C_{3} = 1 	imes 35 = 35$ ways.Total ways = $210 + 175 + 35 = 420$ ways.

Similar Questions

If $^{n-1}C_r = (k^2 - 3) \cdot ^nC_{r+1}$,then an interval containing the values of $k$ is

Out of $6$ boys and $4$ girls,a group of $7$ is to be formed. In how many ways can this be done if the group is to have a majority of boys?

For a scholarship,at most $n$ candidates out of $2n+1$ can be selected. If the number of different ways of selecting at least one candidate for the scholarship is $63$,then the maximum number of candidates that can be selected for the scholarship is -

The value of ${ }^{49} C_3+{ }^{48} C_3+{ }^{47} C_3+{ }^{46} C_3+{ }^{45} C_3+{ }^{45} C_4$ is

If the number of subsets with $8$ elements from the set $A=\{a_1, a_2, a_3, \ldots, a_n\}$,$n \geq 8$,is five times the number of such subsets containing $a_4$,then $n=$

Vedclass Test Series

Exam Paper Generator

Online Exam Module