we have a group of people 5 men and 7 womens we take 2 men and 3 womens to form a group how many possible groups we can have if 2 women can't be in the same group?
the 2 women can be any womens from the 7 womens
calculate all possible combinations with respect to a conditions
2
$\begingroup$
probability
combinatorics
examples-counterexamples
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0Let number of women = $w$, men = $m$, are you saying that in a group $w \neq 2$ or that $w \leq 1$? – 2017-02-24
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02 womens like may a and b can't be in the same group so we have to rmove them – 2017-02-24
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0You cannot select three women if *any* two women can't be in the same group. They would have to be two *particular* women. – 2017-02-24
1 Answers
2
How many ways can you select $2$ from $5$ men, $2$ from $5$ women, and $1$ from those $2$ specified women?
How many ways can you select $2$ from $5$ men, $3$ from $5$ women, and $0$ from those $2$ specified women?
Add the result.