Find the no. Of ways of slecting 9 balss from 6 red balls , 5 white balls and 5 blue balls , if each selection consists of 3 balss of each color
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Formula used =
C(n,r)=n!r!(n−r)!C(n,r)=n!r!(n−r)!
The number of ways of selecting 3 red balls out of 6 red balls =6C36C3
The number of ways of selecting 3 white balls out of 5 white balls =5C35C3
The number of ways of selecting 3 blue balls out of 5 blue balls =5C35C3
The number of ways of selecting 3 balls of each colour
6C3×5C3×5C3=
6C3×5C2×5C26C3×5C3×5C3=6C3×5C2×5C2
⇒6×5×41×2×3×5×2×5
⇒20×10×10
⇒2000
thank you ☺
♪＼(*＾▽＾*)／＼(*＾▽＾*)／
Formula used =
C(n,r)=n!r!(n−r)!C(n,r)=n!r!(n−r)!
The number of ways of selecting 3 red balls out of 6 red balls =6C36C3
The number of ways of selecting 3 white balls out of 5 white balls =5C35C3
The number of ways of selecting 3 blue balls out of 5 blue balls =5C35C3
The number of ways of selecting 3 balls of each colour
6C3×5C3×5C3=
6C3×5C2×5C26C3×5C3×5C3=6C3×5C2×5C2
⇒6×5×41×2×3×5×2×5
⇒20×10×10
⇒2000
thank you ☺
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