Wednesday, February 3, 2010

Girls Boys Naturist How Many Different Batting Orders Are Possible If There Are 5 Boys And 5 Girls On Team Batters Must Alternate?

How many different batting orders are possible if there are 5 boys and 5 girls on team batters must alternate? - girls boys naturist

A team plays in a co-edition of the league has an eyelash to alternately boy or a girl-girl-child. If there is 5 girls and 5 boys in the team, like an eyelash orders are possible?

4 comments:

Mather said...

You can start with a child, or start with a girl. I started with a child, you have 5 options for the first child and 5 for the first child, then 4 for the second child, etc. So, you

5 * 5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 14,400

If you start with a girl, you have the same situation, so the answer is 14400 * 2 = 28800

math genius said...

Well, I think that's filled with an eyelash:
__ __ __ __ __ __ __ __ __ __
1 2 3 4 5 6 7 8 9 10

We will fill the 1 Position, then 2, then 3 and so on.
For position 1, we have 10 choices (5 boys and 5 girls). After the 2nd Square, 5, and must be occupied by the opposite sex, then for the position of the 3rd, 4th, and so on.
Thus, the number of possible orders is ciliated
(10) (5) (4) (4) (3) (3) (2) (2) (1) (1) or 28,800.

Kristoph... said...

and the only way out are the following:

First child: BGBGBGBGBG
First girl: GBGBGBGBGB

Opportunities there are 2 different

tompains... said...

There are 120 possibilities for the girls. For each child there are 5 possible match UPS Guy. Thus, there are 600 possible commands.

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