The number of ways in which one or more balls | vedclass

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

Question

(D) To select one or more balls from $10$ white,$9$ green,and $7$ blue balls,we consider the choices for each color.For white balls,we can choose $0,

Vedclass · Accepted Answer

$879$

Vedclass · Answer

(D) To select one or more balls from $10$ white,$9$ green,and $7$ blue balls,we consider the choices for each color.For white balls,we can choose $0, 1, 2, \dots, 10$ balls,which gives $(10 + 1) = 11$ options.For green balls,we can choose $0, 1, 2, \dots, 9$ balls,which gives $(9 + 1) = 10$ options.For blue balls,we can choose $0, 1, 2, \dots, 7$ balls,which gives $(7 + 1) = 8$ options.The total number of ways to select any number of balls (including selecting zero balls) is $11 	imes 10 	imes 8 = 880$.Since we must select at least one ball,we subtract the case where zero balls are selected from all three colors.Required number of ways $= 880 - 1 = 879$.

The number of ways in which one or more balls can be selected out of $10$ white,$9$ green,and $7$ blue balls is:

Similar Questions

At an election,a voter may vote for any number of candidates not exceeding the number to be elected. If $4$ candidates are to be elected out of the $12$ contested in the election and a voter votes for at least one candidate,then the number of ways in which a voter can vote is:

The number of solutions of the equation $x+y+z=10$, where $x, y$, and $z$ are positive integers, is:

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these are all $4$ cards face cards?

Sangeeta plans a dinner party for $6$ guests. Out of $10$ friends,in how many ways can she choose the guests if two specific friends cannot attend the party together?

$A$ student has to answer $10$ out of $13$ questions in an examination,choosing at least $5$ questions from the first $6$ questions. The number of choices available to the student is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module