Question

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

Answer 1

35*210?
Here's my reasoning: there are five ways any man can sit in the first five seats:
MWWWW
WMWWW
WWMWW
WWWMW
WWWWM
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

Answer 2

wronggg

Answer 3

its suppose to be a fraction

Answer 4

Oooooh, ok

Answer 5

then it is 7350 out of 259459200

Answer 6

so 7350/259459200

Answer 7

well, it reduces

Answer 8

147/5189184, which seems ridiculous

Answer 9

is it right

Answer 10

hold on...

Answer 11

The total number of choices for people to sit is...

Answer 12

is

Answer 13

I don;t know why I can't get the total. I'll brb

Answer 14

kk

Answer 15

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.