A student is to answer 10 out of 13 questions | vedclass

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

Question

(b) As for given question two cases are possible.

$(i)$ Selecting $4$ out of first $5$  questions and $6$ out of remaining $8$ questions $ = {

Vedclass · Accepted Answer

$196$

Vedclass · Answer

(b) As for given question two cases are possible.

$(i)$ Selecting $4$ out of first $5$  questions and $6$ out of remaining $8$ questions $ = {\,^5}{C_4}\, 	imes {\,^8}{C_6} = 140$ choices.

$(ii)$ Selecting $5$ out of first $5$ questions and $5$ out of remaining $8$ questions $ = {\,^5}{C_5}\, 	imes {\,^8}{C_5} = 56$ choices.

Total no. 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 five question. The number of choices available to him is

Similar Questions

Total number of $6-$digit numbers in which only and all the five digits $1,3,5,7$ and $9$ appear, is

It is required to seat $5$ men and $4$ women in a row so that the women occupy the even places. How many such arrangements are possible?

From $6$ different novels and $3$ different dictionaries, $4$ novels and $1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

The number of words (with or without meaning) that can be formed from all the letters of the word $"LETTER"$ in which vowels never come together is

The number of triplets $(x, y, z)$. where $x, y, z$ are distinct non negative integers satisfying $x+y+z=15$, is