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JAMB Mathematics questions: Permutation and combination

22 questions with answers and explanations. Tap an option to check yourself.

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All topicsBinary operations · 22Coordinate geometry · 26Differentiation · 24Euclidean geometry · 25Fractions, decimals, approximations and percentages · 27Indices, logarithms and surds · 30Inequalities · 24Integration · 23Loci · 19Matrices and determinants · 25Mensuration · 26Number bases · 25Permutation and combination · 22Polynomials · 28Probability · 25Progressions · 26Sets · 24Statistics · 27Trigonometry · 26Variation · 23

  1. Question 1· Permutation and combination· JAMB

    In how many ways can the letters of the word BANANA be arranged?

    Explanation and discussion

  2. Question 2· Permutation and combination· JAMB

    In how many ways can 4 different books be arranged on a shelf?

    Explanation and discussion

  3. Question 3· Permutation and combination· JAMB

    How many different 3-letter arrangements can be made from the letters of the word MATHS, without repetition?

    Explanation and discussion

  4. Question 4· Permutation and combination· JAMB

    In how many ways can 3 students be chosen from 7?

    Explanation and discussion

  5. Question 5· Permutation and combination· JAMB

    In how many ways can a chairman and a secretary be chosen from 7 members?

    Explanation and discussion

  6. Question 6· Permutation and combination· JAMB

    A committee of 4 with exactly 2 women is chosen from 6 men and 4 women. In how many ways can this be done?

    Explanation and discussion

  7. Question 7· Permutation and combination· JAMB

    In how many ways can 2 prefects be chosen from 10 students (that is, ¹⁰C₂)?

    Explanation and discussion

  8. Question 8· Permutation and combination· JAMB

    In how many ways can a committee of 4 be chosen from 7 people?

    Explanation and discussion

  10. Question 10· Permutation and combination· JAMB

    In how many ways can the letters of the word ADMIT be arranged if A must come first?

    Explanation and discussion

  12. Question 12· Permutation and combination· JAMB

    In how many ways can first and second places be awarded among 9 runners?

    Explanation and discussion

  13. Question 13· Permutation and combination· JAMB

    How many different selections of 10 books can be made from 12 different books?

    Explanation and discussion

  14. Question 14· Permutation and combination· JAMB

    Ten people each shake hands once with every other person. How many handshakes take place?

    Explanation and discussion

  15. Question 15· Permutation and combination· JAMB

    A committee of 2 boys and 1 girl is to be chosen from 4 boys and 3 girls. In how many ways can this be done?

    Explanation and discussion

  16. Question 16· Permutation and combination· JAMB

    In how many ways can 5 people sit in a row of 5 chairs?

    Explanation and discussion

  17. Question 17· Permutation and combination· JAMB

    In how many ways can the letters of the word SEED be arranged?

    Explanation and discussion

  18. Question 18· Permutation and combination· JAMB

    In how many ways can all the letters of the word LAGOS be arranged?

    Explanation and discussion

  19. Question 19· Permutation and combination· JAMB

    In how many ways can first, second and third prizes be awarded among 5 students?

    Explanation and discussion

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