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Permutation and Combination review answers
Permutations, Combinations, and Binomial Expansion
MULTIPLE CHOICE:
­ Calculators are not allowed for this part of the test.
­ Each question is worth one mark. 
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
 If all the following letters S L E U F I D F are used, how many 8 letter 
 arrangements are possible? 




      a. 7!     b. 7! 2!       c.   8! 2!      d. 8!
         2!                                       2!
14.
      In the binomial expansion of (3x + 2)8, the last term is:




  a. 3 . 28          b. 28               c. 2            d. 20
15.
If there are 3 identical red books and 4 identical green books on a shelf, how many 
arrangements are possible keeping all the red books together? 




      a. 5!             b.    7!            c. 5!             d.   3!4!
                             3!4!              4!
16.
17.
18.
SHORT ANSWER:
­ Calculators are not allowed for this part of the test.
 ­ Each question is worth one mark. 

 1. 
2. 
3. 
4. 
5. 
6. 
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
LONG ANSWER:
­ Calculators are not allowed for this part of the test.
­ Marks are indicated for each question. 
1. 
2. 
3. 
LONG ANSWER:
­ Calculators are allowed for this part of the test.
­ Marks are indicated for each question. 
1. 
2. 
3. 
4.
5.
5.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.

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Permutations Combinations Review MCQ SA LA