Question

Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} a. How many subsets are there of cardinality 6? 210 210 (Note: you can enter "C(n,k)" for $\binom{n}{k}$.) b. How many subsets of cardinality 6 have {2, 3, 5} as a subset? 35 35 c. How many subsets of cardinality 6 contain at least one odd number? 210 210 d. How many subsets of cardinality 6 contain exactly one even number? 42 42

          Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
a. How many subsets are there of cardinality 6?
210
210 (Note: you can enter "C(n,k)" for $\binom{n}{k}$.)
b. How many subsets of cardinality 6 have {2, 3, 5} as a subset?
35
35
c. How many subsets of cardinality 6 contain at least one odd number?
210
210
d. How many subsets of cardinality 6 contain exactly one even number?
42
42

Let S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
a. How many subsets are there of cardinality 6?
210
210 (Note: you can enter "C(n,k)" for nk.)
b. How many subsets of cardinality 6 have 2, 3, 5 as a subset?
35
35
c. How many subsets of cardinality 6 contain at least one odd number?
210
210
d. How many subsets of cardinality 6 contain exactly one even number?
42
42

Added by Stacey Y.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

02/17/2023

Step 1

Step 1: To find the number of subsets of cardinality 6, we need to choose 6 elements from the set S={1,2,3,4,5,6,7,8,9,10}. Show more…

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Thanks for your feedback!

i just need the last question!!! Let S={1,2,3,4,5,6,7,8,9,10} a. How many subsets are there of cardinality 6? 210 210 (Note: you can enter "C(n,k)" for ().) b. How many subsets of cardinality 6 have {2, 3, 5} as a subset? 35 35 c. How many subsets of cardinality 6 contain at least one odd number? 210 210 d. How many subsets of cardinality 6 contain exactly one even number? 42 42