3/25).
A team to represent India in Common Wealth Games 2010 at Delhi is to be formed from amongst 7
female wrestlers, 6 male wrestlers, 3 female shooters, 2 male shooters, 11 female athletes and 9
male athletes
Q. A team comprising of 20 members out of which 13 are wrestlers whereas the remaining members
can be shooters and/or Athletes. In how many ways can be team be formed?
Answers
Given : A team to represent India in Common Wealth Games 2010 at Delhi is to be formed from amongst 7 female wrestlers, 6 male wrestlers, 3 female shooters, 2 male shooters, 11 female athletes and 9 male athletes
To Find : A team comprising of 20 members out of which 13 are wrestlers whereas the remaining members can be shooters and/or Athletes.
Solution:
Wrestlers = 7 + 6 = 13
13 wrestlers out of 13 can be selected in
¹³C₁₃ = 1
remaining members 20 - 13 = 7
Shooters + athletes = 3 +2 + 11 + 9 = 25
²⁵C₇
A team comprising of 20 members out of which 13 are wrestlers whereas the remaining members can be shooters and/or Athletes
¹³C₁₃. ²⁵C₇
= ²⁵C₇
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