What is 17 less than a number g?
2 answers:
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Answer:
Cr = 10
Step-by-step explanation:
To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.
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Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let denote a set of elements.
would denote the set of all ordered pairs of elements of
.
For example, with ,
and
are both members of
. However,
because the pairs are ordered.
A relation on
is a subset of
. For any two elements
,
if and only if the ordered pair
is in
.
A relation on set
is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation
needs to ensure that
(that is:
.)
- Symmetry: for any
,
if and only if
. In other words, either both
and
are in
.
- Transitivity: for any
, if
, then
. In other words, if
are both in
also needs to be in
The relation (on
) in this question is indeed reflexive.
,
, and
(one pair for each element of
) are all elements of
.
isn't symmetric.
but
(the pairs in
are all ordered.) In other words,
isn't equivalent to
under
even though
.
Neither is transitive.
and
. However,
. In other words, under relation
,
and
does not imply
.
1
1 · 2 = 2
2 · 4 = 8
8 · 6 = 48
48 · 8 = 384
384 · 10 = 3840
3840 · 12 = 46080
46080 · 14 = 645120
...
1 · 2 = 2
2 · 4 = 8
8 · 6 = 48
48 · 8 = 384
384 · 10 = 3840
3840 · 12 = 46080
46080 · 14 = 645120
...