find the total number of selection of at least one red ball from 4 red and 3 Green balls if the ball of the same colour are different
Answers
120 ways of selection of at least one red ball from 4 red and 3 Green balls if the ball of the same color are different
Step-by-step explanation:
if 1 Ball selected
if only 1 Red ball is selected then ⁴C₁ = 4 Ways
if 2 balls selected
one Red one Green is selected then = ⁴C₁ * ³C₁ = 4 * 3 = 12 Ways
two reds are selected then = ⁴C₂ = 6 Ways
12 + 6 = 18 Ways
if 3 balls selected
one Red Two Green is selected then = ⁴C₁ * ³C₂ = 4 * 3 = 12 Ways
two reds one one green are selected then = ⁴C₂ * ³C₁ = 18 Ways
3 reds are selected then = ⁴C₃ = 4 Ways
12 + 18 + 4 = 34 Ways
if 4 balls selected
1 Red 3 Green is selected then = ⁴C₁ * ³C₃ = 4 Ways
2 Reds 2 Green are selected then = ⁴C₂ * ³C₂ = 18 Ways
3 reds 1 Green are selected then = ⁴C₃ * ³C₁ = 4 * 3 = 12 Ways
4 reds are selected then = ⁴C₄ = 1 Ways
4 + 18 + 12 + 1 = 35 Ways
if 5 balls selected
2 Red 3 Green is selected then = ⁴C₂ * ³C₃ =6 Ways
3 Reds 2 Green are selected then = ⁴C₃ * ³C₂ = 12 Ways
4 reds 1 Green are selected then = ⁴C₄ * ³C₁ = 3 Ways
6 + 12 + 3 = 21 Ways
if 6 balls selected
3 Red 3 Green is selected then = ⁴C₃ * ³C₃ = 4 Ways
4 Reds 2 Green are selected then = ⁴C₄ * ³C₂ = 3 Ways
4 + 3 = 7 Ways
if 7 balls selected
4 Red 3 Green is selected then = ⁴C₄ * ³C₃ = 1 Ways
Total ways = 4 + 18 + 34 + 35 + 21 + 7 + 1 = 120
Learn More:
a box contains 7 red,6 white and 4 blue balls how many selections ...
https://brainly.in/question/13409439
1. In a packet there are m different books, n different pens and p ...
https://brainly.in/question/13565475
Given 8 different physics books,7 different chemistry books and 5 ...
https://brainly.in/question/13611743