Question

Help Help Help Help!!!!!!! SOMEBODY!!!!!!

1. How many one-to-one correspondences are there between the sets {a, b, c, d} and {1, 2, 3, 4} if in each correspondence:

a) b must correspond to 3?
b) b must correspond to 3 and d to 4?
c) a and c must correspond to even numbers?

*Note: List all of the correspondences for each problem (i.e. b → 3, a → 1, etc.)

Answer 1

how many ways can you rearrange a,b,c,d , 4!

Answer 2

24

Answer 3

but b has to be with 3?

Answer 4

ok so then we really only have a,c,d which correspnds to the set {1,2,4}

Answer 5

yep so its 3! ?

Answer 6

so how many ways can you rearrange a,c,d , because what i am doing , the first place goes to 1, second place to 2, and third place to 4

Answer 7

yes , 6

Answer 8

i got 6?

Answer 9

yep

Answer 10

ok so for B it would be 2?

Answer 11

yes, now we just have a,c

Answer 12

wouldnt it be the same as B? 2?

Answer 13

b) is 2

Answer 14

so is c also 2?

Answer 15

for c) a and c correspond to even, which is 2 possibilities, and that times the other two numbers (odd) which have two possibilities, so 4

Answer 16

2x2

Answer 17

my teacher want us to write it out, so it would be {a2,b1,c4,d3} and {a4,b3,c2,d1} that would only be 2? show me what im doing wrong

Answer 18

?

Answer 19

helo?

Answer 20

yes

Answer 21

my teacher want us to write it out, so it would be {a2,b1,c4,d3} and {a4,b3,c2,d1} that would only be 2? show me what im doing wrong

Answer 22

thats for C

Answer 23

a2, b1, c4, d3
a2, b3, c4, d1

a4,b3,c2,d1
a4,b1,c2,d3

thats 4 :)

Answer 24

dam i feel dumbbbb. thanks bro

Answer 25

welcome :) , give me medal