SOLUTION: 1) how many different ways can the letters in the word STATISTICS be arranged if all the letters T are seperated? 2) a group of five people is to be formed from 6 men and 8 wome

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Question 398131: 1) how many different ways can the letters in the word STATISTICS be arranged if all the letters T are seperated?
2) a group of five people is to be formed from 6 men and 8 women for a trip.In how many ways can the five people be selected if John and Mary must go on the trip and there are more men than women?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1) how many different ways can the letters in the word STATISTICS be arranged if all the letters T are separated?
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If you treat the the 3 T's as one letter there are only 8 letters
to arrange:
Ans: 8!/(3!*2!) = 3360 arrangements
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2) a group of five people is to be formed from 6 men and 8 women for a trip.
In how many ways can the five people be selected if John and Mary must go on the trip and there are more men than women?
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Acceptable mix: 5m/3w ; 6m/2w
# of 5/3 groups with J and M included = 5C4*7C2 = 5*21 = 105
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# of 6/2 groups with J and M included = 5C5*7C1 = 7
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Cheers,
Stan H.