Suppose Anil's mother wants to give 5 whole f | vedclass

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

Question

(A) We have $7$ red apples $(RA)$,$5$ white apples $(WA)$,and $8$ oranges $(O)$. We need to select $5$ fruits such that there are at least $2$ oranges

Vedclass · Accepted Answer

$6860$

Vedclass · Answer

(A) We have $7$ red apples $(RA)$,$5$ white apples $(WA)$,and $8$ oranges $(O)$. We need to select $5$ fruits such that there are at least $2$ oranges,at least $1$ red apple,and at least $1$ white apple.The possible combinations $(O, RA, WA)$ are:$1. (2, 1, 2) \Rightarrow {}^{8}C_{2} 	imes {}^{7}C_{1} 	imes {}^{5}C_{2} = 28 	imes 7 	imes 10 = 1960$$2. (2, 2, 1) \Rightarrow {}^{8}C_{2} 	imes {}^{7}C_{2} 	imes {}^{5}C_{1} = 28 	imes 21 	imes 5 = 2940$$3. (3, 1, 1) \Rightarrow {}^{8}C_{3} 	imes {}^{7}C_{1} 	imes {}^{5}C_{1} = 56 	imes 7 	imes 5 = 1960$Total number of ways = $1960 + 2940 + 1960 = 6860$.

Similar Questions

How many words can be formed by taking $3$ consonants and $2$ vowels out of $5$ consonants and $4$ vowels?

If $^{2n}C_2 : ^nC_2 = 9:2$ and $^nC_r = 10$,then $r = $

If the number of $5$-element subsets of the set $A = \{a_1, a_2, \dots, a_{20}\}$ containing $20$ distinct elements is $k$ times the number of $5$-element subsets containing the element $a_4$,then what is the value of $k$?

The total number of different combinations of one or more letters which can be made from the letters of the word $MISSISSIPPI$ is

If ${ }^{12} C_{2 k-1}={ }^{12} C_{k+1}$,then find $k$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module