All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Mr. Wolfingham's Fiancée (Posted on 2023-03-01)
J. Weldon Wolfingham, Jr. will marry one of these women: Adrianna, Bianca, and Claire.

Some clues are furnished hereunder as follows:

• (a) Either they are both have blue eyes, or neither has blue eyes.
• (b) One has red hair and the other does not.

• (a) Either they both have red hair, or neither has red hair.
• (b) One is 5'11" and the other is not.

3. Of Bianca and Claire:
• (a) One has blue eyes and the other does not.
• (b) One is 5'11" and the other is not.

4. Of the three characteristics - blue eyes, red hair and 5'11":
• (a) If any of the three women has exactly two of the three characteristics, Mr. Wolfingham will marry the one with the least number of characteristics.
• (b) If any of the three women has exactly one of the three characteristics, Mr. Wolfingham will marry the one with the greatest number of characteristics.

Who will Mr. Wolfingham marry?

 See The Solution Submitted by K Sengupta Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Solution (Excel) | Comment 3 of 5 |
Let 1 = yes and 0 = No.

For A|B|C:

Blue eyes (clues 1 & 3):  110   or   001
Red hair   (clues 1 & 2): 101   or   010
5'11"       (clues 2 & 3): 110   or   011

This provides 2^3 combinations (with summation):

1.
A B C
1 1 0
1 0 1
1 1 0
3 2 1

2.
A B C
1 1 0
1 0 1
0 0 1
2 1 2
3.
A B C
1 1 0
0 1 0
0 0 1
1 2 1

4.
A B C
0 0 1
1 0 1
1 1 0
2 1 2
5.
A B C
0 0 1
0 1 0
1 1 0
1 2 1
6.
A B C
0 0 1
0 1 0
0 0 1
0 1 2
7.
A B C
0 0 1
1 0 1
0 0 1
1 0 3
8
A B C
0 0 1
1 0 1
0 0 1
1 0 3

Combinations 1 thru 6 can be eliminated since they exhibit women having both 1 and 2 characteristics, thus contradicting rules 4a and 4b.  That leaves combinations 7 and 8.

Combination 7 shows Adrianna with 2 characteristics, with Claire having the least (4a).

Combination 8 shows Adriana with 1 characteristic with Claire having the most (4b).

Therefore, Claire is the fiancé.

Bianca either exhibits all three characteristics, or she exhibits none.

Edited on March 1, 2023, 8:52 pm
 Posted by hoodat on 2023-03-01 20:45:37

 Search: Search body:
Forums (0)