Number of ways of covering $m$ points by $n$ shapes?
$begingroup$
Suppose $m$ points labelled $1,2,.....,m$ are on circumference of circle, find the number of ways of covering these $m$ points by $n$ shapes and no shapes touches any other shape. Shapes can be of triangles or chords.
I solved problems which involves only one shape.
I am not able to imagine the recursive decomposition.
combinatorics generating-functions
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
$endgroup$
add a comment |
$begingroup$
Suppose $m$ points labelled $1,2,.....,m$ are on circumference of circle, find the number of ways of covering these $m$ points by $n$ shapes and no shapes touches any other shape. Shapes can be of triangles or chords.
I solved problems which involves only one shape.
I am not able to imagine the recursive decomposition.
combinatorics generating-functions
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
$endgroup$
add a comment |
$begingroup$
Suppose $m$ points labelled $1,2,.....,m$ are on circumference of circle, find the number of ways of covering these $m$ points by $n$ shapes and no shapes touches any other shape. Shapes can be of triangles or chords.
I solved problems which involves only one shape.
I am not able to imagine the recursive decomposition.
combinatorics generating-functions
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
$endgroup$
Suppose $m$ points labelled $1,2,.....,m$ are on circumference of circle, find the number of ways of covering these $m$ points by $n$ shapes and no shapes touches any other shape. Shapes can be of triangles or chords.
I solved problems which involves only one shape.
I am not able to imagine the recursive decomposition.
combinatorics generating-functions
combinatorics generating-functions
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
edited Dec 3 '18 at 18:50
greedoid
39.4k114797
39.4k114797
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
asked Dec 3 '18 at 18:42
RandhawaRandhawa
1289
1289
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024498%2fnumber-of-ways-of-covering-m-points-by-n-shapes%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024498%2fnumber-of-ways-of-covering-m-points-by-n-shapes%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
