Combinatorial analysis

STA 112. Practice questions, not past papers.

Lessons

• Permutations and repeated symbols
• Combinations and restrictions

Practice questions

1. Selecting an unordered committee uses which count?

   Statistics study edition practice item Q113; Source: S13-14, S66

2. Arranging r distinct objects chosen from n without repetition uses what?

   Statistics study edition practice item Q114; Source: S13-14, S66

3. What is 0 factorial?

   Statistics study edition practice item Q115; Source: S13-14, S66

4. For n distinct people around an unlabelled circle with reflections distinct, the count is what?

   Statistics study edition practice item Q116; Source: S13-14, S66

5. Choose an unordered committee with exactly 3 men and 2 women from 6 men and 4 women. How many committees?

   Statistics study edition practice item Q117; Source: S14, S66

6. Choose an unordered committee with exactly 2 men and 1 women from 5 men and 3 women. How many committees?

   Statistics study edition practice item Q118; Source: S14, S66

7. Choose an unordered committee with exactly 2 men and 2 women from 7 men and 5 women. How many committees?

   Statistics study edition practice item Q119; Source: S14, S66

8. How many distinct arrangements of all letters in ADELEKE are possible?

   Statistics study edition practice item Q120; Source: S13

9. Using 15 distinct symbols, how many five-character passwords are possible with repetition allowed and no restriction on the first character?

   Statistics study edition practice item Q121; Source: S66

10. An unordered selection is counted with a _____.

    Statistics study edition practice item F038; Source: S13-14, S66

Topic gap report