Answer:
Step-by-step explanation:
Combination is used for selection
Combination formula
nCr = n! / ( n-r)! r!
Total boys = 5
Total girls = 5
How may way can we have 3boys and 2 girls, a team comprises of 5 players
To have 3 boys means we are selecting 3 boys from the 5 boys and to have 2 girls Is that we are selecting 2 girls from the 5 girls.
3boys and two girls
Therefore, we have
5C3 × 5C2
[5!/(5-3)!3!] × [5!/(5-2)!(2!)]
[5! / (2! 3!)] × [5! / (3!2!)]
(5×4×3! / 2× 1 × 3!) × ( 5×4×3!/3! × 2 ×1)
10 × 10 = 100ways
There are 100 possible ways to field a team of 3 boys and 2 girls
