In how many ways a committee of 5 men and 6 women can be arranged from 8 men and 10 women
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Answer:
3136 ways
Step-by-step explanation:
from 8 men ⇒ we want 5 men ⇔ 8C₅
from 10 women ⇒ we want 6 women ⇔ 10C₆
total probability = 8C₅ * 10C₆ = 8C₍₈₋₅₎*10C₍₁₀₋₆₎ =8C₃*8C₄
= 8*7*6/1*2*3 * 8*7*6*4/1*2*3*4
= 56*56 =3,136
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