Here is a propability question I am stuck with, In a class there are 8 boys and 5 girls. Two class representatives are to be choosen. In how many ways they can be selected if,
- both are choose from all?
- one is to be a boy and other a girl?
- the first one is to be a boy and the second any of the boy or girl?
Here is how I solved it,
- As there are 8 boys and 5 girls so, 8+5= 13. The choice for first will be 13 and for the second one it will be 12 which makes 156.
- For 8 boys choice is 8 and for 5 girls the choice is 5. By multiplication principle = 40
- if first one is boy choices are 8 and then anyone, choices are 12, by multiplication principle, 8*12= 96 The 1st answer does not match.Can anyone please tell me why?