State True or False for the following statement: There will be on… - Vidyadip

Question

State True or False for the following statement:
There will be only 24 selections containing at least one red ball out of a bag containing 4 red and 5 black balls. It is being given that the balls of the same colour are identical.

✓

Answer

FalseSolution:
Number of ways of selecting any number of objects from given n identical objects is 1. Now selecting zero or more red ball from 4 identical red balls = 1 + 1 + 1 + 1 + 1 = 5 Selecting at least 1 black ball from 5 identical black balls =1 + T + 1 + 1 + 1= 5 So, total number of ways = 5 × 5 = 25

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