7 men and 8 woman are going to be assigned seats in a movie theather. if 15 tickets with numbered seats are given at ramdom, find the prob that exaclty one man is in one of the first 5 seats
Stacey Warren - Expert brainly.com
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Here's my reasoning: there are five ways any man can sit in the first five seats:
And there are seven men that can be that man, so 5*7 = 35
Now , the remaining ten seats have 6 men left to seat, which has this many arrangements:
(10*9*8*7*6*5)/(6!) = 210
35 * 210 = 7350
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then it is 7350 out of 259459200
well, it reduces
147/5189184, which seems ridiculous
is it right
The total number of choices for people to sit is...
I don;t know why I can't get the total. I'll brb
okay, try this, it doesn't matter which man it is. that was my mistake, so there aren't 7350 ways they can sit with one man in the first 5 seats, there are only 10C6*5 = 1050. then there are 15C7 total ways, for 6435 total
1050/6435 = 70/429, less ridiculous.