Answer / guest

Let's mark the corners of the triangle as A,B,C. There are
total 8 ways in which ants can move.
1. A->B, B->C, C->A
2. A->B, B->C, C->B
3. A->B, B->A, C->A
4. A->B, B->A, C->B
5. A->C, C->B, B->A
6. A->C, C->B, B->C
7. A->C, C->A, B->A
8. A->C, C->A, B->C

Out of which, there are only two cases under which the ants
won't collide :
? A->B, B->C, C->A
? A->C, C->B, B->A

Answer / kumar

P=1/4

Answer / kiran

if they travel with same speed each following another then
they will never collide and prob. of that is 1/4

Answer / some guy who hates his life

Don't answer. Just hang up the phone and look for a sharp object.

I thought the ants (or robots, in my case) could reverse their paths randomly at any point like so many toy robots that move pseudo-randomly.

Dang it! I really wanted that job too.

Answer / vanitha

1/2

7) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane wears black shoes she will not wear: a) red stockings. b) a blue skirt. c) a white blouse. d) blue stockings. e) a sky blue blouse. 8) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane is color blind and is unable to determine what outfits went well together, how many possible clothing combinations could she have? a) 24 b) 32 c) 36 d) 44 e) 48 9) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane wears a brown skirt and a white blouse, she could: a) not wear blue stockings. b) not wear brown shoes. c) not wear black shoes. d) wear blue stockings. e) wear red stockings. 10) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. Jane buys a gray scarf. If she wears the new scarf, then she could: a) not wear blue stockings. b) not wear brown stockings. c) not wear black shoes. d) wear a white blouse. e) wear black stockings. 11) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. Jane will never wear: a) blue and red together. b) white and red together. c) gray and blue together. d) white and black together. e) white and red together.

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