3 boys and 3 girls,how many boy - girl pairs can be formed ?
18
could u please explain how u work it out,thanks
1 2 3
1 2 3
(1,1)(1,2)(1,3)
(2,1)(2,2)(2,3)
(3,1)(3,2)(3,3)
Total of 18 selections and 9 pairs
understood?
sorry, I 'm still not understand
To determine the number of boy-girl pairs that can be formed from 3 boys and 3 girls, you need to multiply the number of choices for boys with the number of choices for girls.
Let's break down the process step by step:
1. Determine the number of boy choices:
- Since you have 3 boys, you have 3 options for selecting the first boy.
- After selecting the first boy, you have 2 remaining boys to choose from for the second spot.
- Finally, for the last spot, you have 1 option remaining.
- So, the number of choices for selecting the boys is 3 * 2 * 1 = 6.
2. Determine the number of girl choices:
- Similarly, you have 3 girls to choose from for the first girl.
- After selecting the first girl, you have 2 remaining girls to choose from for the second spot.
- Finally, for the last girl, you have 1 option remaining.
- So, the number of choices for selecting the girls is also 3 * 2 * 1 = 6.
3. Multiply the number of boy choices by the number of girl choices:
- Multiply the number of choices for boys (6) by the number of choices for girls (6): 6 * 6 = 36.
Therefore, you can form 36 different boy-girl pairs with 3 boys and 3 girls.