0606 P21 - Nov 2024 - Q10 - 6 marks
7248
(a) A class contains 7 girls and 8 boys. A group of 6 is selected from the class. The group must contain at least 3 girls and at least 2 boys. Find the number of different groups that can be selected.
(b) A 5-character code is to be formed from the following characters.
| Letters | A | B | C | D | E | F |
|---|---|---|---|---|---|---|
| Numbers | 1 | 2 | 3 |
No character may be used more than once in any code. The characters may be arranged in any order.
Find the number of different codes that can be formed using 4 letters and 1 number.
