A student has to answer a multiple-choice que | vedclass

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

Question

(D) The total number of ways to select any number of alternatives from $5$ available alternatives is given by the sum of combinations: $\binom{5}{0} +

Vedclass · Accepted Answer

$26$

Vedclass · Answer

(D) The total number of ways to select any number of alternatives from $5$ available alternatives is given by the sum of combinations: $\binom{5}{0} + \binom{5}{1} + \binom{5}{2} + \binom{5}{3} + \binom{5}{4} + \binom{5}{5} = 2^5 = 32$. Since the student must choose two or more than two alternatives,we must exclude the cases where $0$ or $1$ alternative is chosen. The number of ways to choose $0$ alternatives is $\binom{5}{0} = 1$. The number of ways to choose $1$ alternative is $\binom{5}{1} = 5$. Therefore,the number of ways to choose two or more alternatives is $32 - (1 + 5) = 32 - 6 = 26$.

$A$ student has to answer a multiple-choice question having $5$ alternatives in which two or more than two alternatives are correct. Then the number of ways in which the student can answer that question is

Similar Questions

$A$ team of $5$ students is to be selected from $12$ students. If two particular students are to be included in that team,then the number of ways that such team can be selected is

In a conference of $8$ persons,if each person shakes hands with every other person exactly once,then the total number of handshakes is:

$A$ bag contains $3$ coins of one rupee,$4$ coins of fifty paise,and $5$ coins of ten paise. If at least one coin is selected from the bag,what is the total number of ways to make the selection?

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

The number of ways in which $10$ persons can go in two boats so that there may be $5$ on each boat,supposing that two particular persons will not go in the same boat is

Vedclass Test Series

Exam Paper Generator

Online Exam Module