In how many different ways can a group of 4 boys and 2 girls be made out of a…
2025
In how many different ways can a group of 4 boys and 2 girls be made out of a total of 8 boys and 4 girls ?
- A.
420
- B.
360
- C.
280
- D.
240
Attempted by 16 students.
Show answer & explanation
Correct answer: A
Answer: 420
Explanation: Choose 4 boys from 8 and 2 girls from 4. These choices are independent, so multiply the counts.
Choose 4 boys from 8: C(8,4) = 8*7*6*5 / (4*3*2*1) = 70
Choose 2 girls from 4: C(4,2) = 4*3 / (2*1) = 6
Total ways = 70 * 6 = 420