There are 6 multiple choice questions in an e | vedclass

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

Question

(C) According to the fundamental principle of counting,if an event can occur in $m$ ways and another independent event can occur in $n$ ways,then the

Vedclass · Accepted Answer

$3600$

Vedclass · Answer

(C) According to the fundamental principle of counting,if an event can occur in $m$ ways and another independent event can occur in $n$ ways,then the total number of ways the two events can occur is $m 	imes n$.For the given $6$ questions:- The $1^{st}$ question has $3$ choices.- The $2^{nd}$ question has $3$ choices.- The $3^{rd}$ question has $4$ choices.- The $4^{th}$ question has $4$ choices.- The $5^{th}$ question has $5$ choices.- The $6^{th}$ question has $5$ choices.Total number of sequences of answers $= 3 	imes 3 	imes 4 	imes 4 	imes 5 	imes 5 = 3600$.

There are $6$ multiple choice questions in an examination. How many sequences of answers are possible,if the first $2$ questions have $3$ choices each,the next $2$ have $4$ choices each,and the last $2$ have $5$ choices each?

Similar Questions

The number of ways of choosing $10$ objects out of $31$ objects,of which $10$ are identical and the remaining $21$ are distinct,is

How many words can be formed out of the letters of the word '$EDUCATION$' such that vowels occupy the odd positions?

Out of $6$ books,in how many ways can a set of one or more books be chosen?

In a group of $6$ boys and $4$ girls,four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

There are $6$ men and $8$ women in a club,and a committee of $5$ people must be formed. What will be the number of ways to select $5$ people if only men are selected?

Vedclass Test Series

Exam Paper Generator

Online Exam Module