The number of groups that can be made from 5 | vedclass

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Question

(b) At least one green ball can be selected out of $5$ green balls in ${2^5} - 1$

$i.e.$, in $31$ ways. Similarly at least one blue ball can be sel

Vedclass · Accepted Answer

$3720$

Vedclass · Answer

(b) At least one green ball can be selected out of $5$ green balls in ${2^5} - 1$

$i.e.$, in $31$ ways. Similarly at least one blue ball can be selected from $4$ blue balls in ${2^4} - 1 = 15$ ways. .

And at least one red or not red can be select in $2^3=8$ ways.

Hence required number of ways = $31 	imes 15 	imes 8 = 3720$.

The number of groups that can be made from $5$ different green balls, $4$ different blue balls and $3$ different red balls, if at least $1$ green and $1$ blue ball is to be included

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