SOLUTION: Can someone please assist with b and c. I cannot figure out the formula. 1. Delegation Choices. Seven workers decide to send a delegation of 2 to their supervisor to discuss

Question 252626: Can someone please assist with b and c. I cannot figure out the formula.
1. Delegation Choices. Seven workers decide to send a delegation of 2 to their supervisor to discuss their grievances.
a.) How many different delegations are possible? Answer 7 nCr 2 = 21
b.) If it is decided that a certain employee must be in the delegation, how many different delegations are possible? Answer: 6
c.) If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?
Answer: 11

Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
b.) If it is decided that a certain employee must be in the delegation, how many different delegations are possible? Answer: 6
ANSWER: Here is the thinking. You have already sent 1 person. SO, you have 6 people and must choose 1 more. 6C1 = 6.
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c.) If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?
Answer: 11
ANSWER: If you choose 1 female, you must choose 1 male - -> (2c1)*(5c1). If you choose 2 women, you choose 0 males - -> (2c2)(5C0).
2c1 = 2, 5c1 = 5; 2x5 = 10
2c2 = 1, 5c0 = 1; 1x1 = 1.
10 + 1 = 11.
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