EDIT please read the following...it will help you help us help you.
http://spaghettidba.com/2015/04/24/how-to-post-a-t-sql-question-on-a-public-forum/
as a start. , based on the info provided so far by the OP. here is my understanding of the sample data.
to the OP....please check this and amend/repost if required.
CREATE TABLE Child_TBL
(
App_ID INT,
Major varchar(10),
comp_id INT
);
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000001,'DESIGN');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000002,'CART');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000003,'GRAPH');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000001,'DESIGN');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000001,'DESIGN');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000002,'CART');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000003,'GRAPH');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000003,'GRAPH');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000002,'CART');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000001,'DESIGN');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000002,'CART');
INSERT INTO Child_TBL(App_ID,Major) VALUES (10000003,'GRAPH');
CREATE TABLE Health_TBL
(
ufId varchar(8),
sh_plan varchar(10)
);
INSERT INTO Health_TBL(ufId,sh_plan) VALUES ('AFS','GRAPH');
INSERT INTO Health_TBL(ufId,sh_plan) VALUES ('K7','DESIGN');
INSERT INTO Health_TBL(ufId,sh_plan) VALUES ('DGF','CART');
INSERT INTO Health_TBL(ufId,sh_plan) VALUES ('JKY','REDK');
INSERT INTO Health_TBL(ufId,sh_plan) VALUES ('POL','SDRET');
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