permutations

12345678910111213141516
Across
  1. 1. -5 + ₆P₆
  2. 4. In how many ways can 7 boys and 6 girls be arranged on a bench if boys and girls alternate?
  3. 5. A committee of 7 people is to be chosen from a group of 6 women and 4 men. How many committees are possible if one particular person must be chosen on the committee?
  4. 6. 5 · ₆C₅
  5. 7. Possible permutations in the letters A, S, D, F, G, H, I
  6. 9. In how many ways can 7 boys and 6 girls be arranged on a bench if there are no restrictions?
  7. 11. A committee of 7 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there are no restrictions?
  8. 14. ₁₇C₁₀
  9. 15. In how many ways can 3 boys and 2 girls be arranged on a bench if boys and girls are in separate groups?
Down
  1. 1. In how many ways can 5 boys and 5 girls be arranged on a bench if Carl and Joy wish to stay together?
  2. 2. In a hand of poker, 7 cards are dealt from a regular pack of 52 cards. What is the total possible number of hands if there are no restrictions?
  3. 3. ₂₄C₅
  4. 4. 5 · ₆P₅
  5. 5. ₁₈C₄
  6. 8. 4 · ₁₈C₁₁
  7. 10. Find the number of unique permutations of the letters in the word - NUMBER
  8. 12. ₂₂C₂₀
  9. 13. Find the number of unique permutations of the letters in the word - BAND
  10. 16. How many ways can a softball team of 6 players be chosen from 8 players?