In how many ways can the team of 3 boys and 3 girls be formed out of 7 boys and 5 girls if one particular boy and one particular girl can not be together in the team?

Answer Choices

Correct answer marked below

926

350

340

260

Correct

200

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

Total number of ways 3 boys and 3 girls be formed out of 7 boys and 5 girls, when no condition is placed =

7C3 * 5C3 = 350

ways.

Answer now cannot be A and B, since we will be subtracting those cases when they (one particular boy and one particular girl) are included in the team.…

Read the full explanation

Create free account Sign in

Comments

No comments yet

Be the first to share your thoughts and help others understand it better.

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.