How many subsets does a set with 6 elements have?

Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering is not a vowel? (Hint: Every vowel appears to the left of a consonant.)

Discrete Mathematics, partitions of a set   We assign n different tasks to the group of 2n people. How many ways can we do this if: a) we assign a pair for each task; b) we assign at least one person for each task?

How many 4-element subsets containing the letter A can be formed from the set {A, B, C, D, E, F, G}? Answer:

Select all that apply

Discrete Math (see attached) How do you solve this exercise?

Pls help ASAP.

Suppose you have a set of 15 elements, and you want to form subsets from this set. How many different subsets can you create, including the empty set and the set itself? (A) 15 (B) 30 (C) 225 (D) 256

What is the difference between a subset and a proper subset? List the subsets and proper subsets of Red, White,blue

Finite Math   A group of 17 people who are members of an investment club wish to choose a president, vice-president, secretary, and treasurer. How many different ways can this be done?