### Discrete Math Counting

**How** **permutations** **of** **the** **letters** **ABCDEFGH** **contain** are determined.

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**How** **permutations** **of** **the** **letters** **ABCDEFGH** **contain** are determined.

Mathematics / Algebra / Combinatorics » 505092

**the** **string** "CFGA", we can treat **the** **string** "CFGA" as a single object and now our list **of** objects **contain** objects, namely: CFGA, B, D, E
**The** number **of** **permutations** is therefore:
(1.19)
(c)
If we want **the** number **of** **permutations** that include **the**

Mathematics / Algebra / Combinatorics » 505086

356965 **Permutations** and Combinations **of** Strengths **Permutations** and Combinations **of** Strengths 12. **How** **many** bit strings **of** length 12 **contain**
a) exactly three 1s?
b) at most three 1 s?
c) at least three 1 s?
d) an equal number **of** 0s and 1s?

Mathematics / Algebra / Combinatorics » 356965

Solution:
Number **of** choices =
Answer: 14000
12. **How** **many** proper subsets **of** {1, 2, 3, 4, 5} **contain** **the** numbers 1 and 5? **How** **many** **of** them do not **contain** **the** number 2? Justify your answers.

Mathematics / Discrete Math / Discrete Structures / Recurrence Relation » 622395

Provides steps necessary to calculate **the** number **of** choices given and **how** **many** distinct **permutations** can be made.

Statistics / Probability » 368970

**How** **many** orderings are there **of** **the** **letters** **of** **the** word STRAWBERRYALARMCLOCK is found.

Mathematics / Algebra / Combinatorics » 11460

247154 **Permutations** and Combinations - Counting Techniques **Permutations** and Combinations - Counting Techniques Problem:
**How** **many** different words (with or without meaning) can be formed from **the** given **letters** 4 A's, 2 B's, 2 C's and 1 D.

Mathematics / Algebra / Combinatorics » 247154

ways to permute N distinct numbers, we explain **how** to compute **the** number **of** distinguishable **permutations** **of** **letters** in a word.

Mathematics / Algebra / Combinatorics » 474661

Find **the** number **of** distinguishable **permutations** that can be formed from **the** **letters** **of** **the** word PHILIPPINES.
Solution. Since there are 11 **letters** in **the** word PHILIPPINES, we have 11! **permutations**.

Mathematics / Discrete Math » 495428

2703 **Permutations**: Finding Maximum Number **of** Distinct Arrangements **Permutations**: Finding Maximum Number **of** Distinct Arrangements This type **of** question boils down to **how** **many** ways can you arrange things, some **of** which are indistinguishable from each other

Mathematics » 2703