Question

A bag contains 5 black and 6 red balls. Determine the number of ways in which
2 black and 3 red balls can be selected.​

Answer 1

HEY MATE HERE IS YOUR ANSWER....

A bag contains 5 black and 6 red balls .

number of ways of selection 2 black balls from 5 black balls = 5C2

number of ways of selection 3red balls from 6 red balls = 6C3

a/c to fundamental principle of counting,

total number of selection = 5C2 × 6C3

= 5!/2!(5-3)! × 6!/3!(6-3)!

= 5 × 4/2 × 6 × 5 × 4/6

= 10 × 20

= 200

Answer 2

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