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Yes, to get admission for the BBA or MBA course at Ahmedabad Institute of Business Management, candidates must meet the eligibility criteria set by the college. Candidates must pass Class 12 for the UG courses and graduation for the MBA course. The selection criteria are based on institute-level entrance exam/Gujarat Common Admission Services.

There are various BBA colleges in Meghalaya. CMJ University BBA course is offered in a full-time mode and selection is merit-based. The fees can vary based on the chosen college/ university. Some of the BBA colleges in Meghalaya are:

• Martin Luther Christian University
• ICFAI University, Meghalaya
• William Carey University
• University of Science and Technology, etc.

Alva's Law College is a premier Law institute located in the town of Moodbidri, Karnataka. The institute is recognised by the Bar Council of India (BCI) and provides popular programs like BA LLB, BCom LLB, and BBA LLB. Alva's Law College is also affiliated with Karnataka State Law University (KSLU).

According to the available data for the seats for the BSc course at Elphinstone College, the number of seats available for the BSc course is 215. It is important to mention here that this figure only shows the total available seats for this BSc course at Elphinstone College. The availability of seats for each BSc course at Elphinstone College may differ in the future. 

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Possiblenumberofchoosing5differentgreendyes=2^5\\ Possiblenumberofchoosing4bluedyes=2^4\\ andpossiblenumberofchoosing3reddyes=2^3\\ Ifatleastoneblueandonegreendyesareselectedthenthetotalnumberofselection\\ =\left(2^5-1\right)\times \left(2^4-1\right)\times 2^3=31\times 15\times 8=3720\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Yes, a candidate can apply for M.Tech at Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT) with a valid score in GATE. The institute accepts GATE scores for M.Tech admission. Except GATE, IIAEIT also accepts SPACE PGECET scores or any other relevant exams for PG for engineering. Candidates must submit the marksheets for the same. 

Advance Group of Colleges Kanpur admissions are offered to students on the basis of their merit scores. Advance Group of Colleges admission 2025 is open for its various courses. Some of the popular courses offered at the Advance Group of Colleges include BPharm, BEd, MPharm, DPharm, and DELEd. The college offers admission to the BPharm programme on the basis of a valid CUET and UPTAC score. 

South Korea can be an ideal alternative to the likes of USA, United Kingdom & Canada for a number of different reasons. The table below compares some aspects of studies in South Korea with that of the popular study abroad destinations:

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Totalnumberoflettersinthe\text{'}ARTICLE\text{'}is7outwhichA,E,Iarevowelsand\\ R,T,C,Lareconsonants\\ Giventhatvowelsoccupyevenplace\\ \therefore Possiblearrangementcanbeshownasbelow\\ C,V,C,V,C,V,Ci.e.on2nd,4thand6thplaces\\ Therefore,numberofarrangement={}_3{P}_3=3!=6ways\\ Nowconsonantscanbeplacedat1,3,5and7thplace\\ \therefore Numberofarrangement={}_4{P}_4=4!=24\\ So,thetotalnumberofarrangements=6\times 24=144\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

Candidates who wish to apply for admission into the BSc courses at Elphinstone College will require both hard and soft copies of all necessary documents. These documents include:

·       Class 10 and Class 12 mark sheets and certificates

·       Migration /Transfer Certificate

·       Passport-size coloured photographs

·       Identity proof

The hard copies of the mentioned documents will be needed for the document verification process.

The Jyothy Institute of Commerce and Management offers various courses for students among which is the BBA programme is available as well. It is important for students to know about the colleges offering their course of interest in order to keep their options ready. The total tuition fee for the BBA course is INR 2.1 Lacs approximately. 

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Wehavetoform9digitnumbersfrom0,1,2,3,4,5,6,7,8,9andweknowthat0cannotbeput\\ onextremelyleftplace.\\ So,firstplacefromtheleftsidecanbefilledin9ways.\\ Nowrepetitionisnotallowed.So,theremaining8placescanbefilledin9!\\ \therefore Therequirednumberofways=9\times 9!\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

During the admission season, students often get confused regarding college selection. To select the best option, candidates can compare their preferred universities based on certain parameters. Apart from CMJU, there are nearly 15 colleges in Meghalaya that offer BBA programmes. Some of the parameters that can be considered for CMJ University BBA comparison are:

• Course fees
• Placements
• Faculty
• Location, etc.

This is a Long Answer Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetAbethefirsttermanddbethecommondifferenceofthegivenA.P.andxandRbethe\\ firsttermandcommonratiorespectivelyoftheG.P.\\ \therefore A+\left(p-1\right)d=a\dots \left(i\right)\\ A+\left(q-1\right)d=b\dots \left(ii\right)\\ andA+\left(r-1\right)d=c\dots \left(iii\right)\\ ForG.P.,wehave\\ x{R}^{p-1}=a\dots \left(iv\right)\\ x{R}^{q-1}=b\dots \left(v\right)\\ andx{R}^{r-1}=c\dots \left(vi\right)\\ Subtractingeqn.\left(ii\right)fromeqn.\left(i\right)weget\\ \left(p-q\right)d=a-b\dots \left(vii\right)\\ Similarly,\left(q-r\right)d=b-c\dots \left(viii\right)\\ and\left(r-p\right)d=c-a\dots \left(ix\right)\\ Nowwehavetoprovethat\\ a^{b-c}.b^{c-a}.c^{a-b}=1\\ L.H.S.=a^{b-c}.b^{c-a}.c^{a-b}\\ ={\left[x{R}^{p-1}\right]}^{\left(q-r\right)d}.{\left[x{R}^{q-1}\right]}^{\left(r-p\right)d}.{\left[x{R}^{r-1}\right]}^{\left(p-q\right)d}\left[\begin{array}{l}Fromeq.\left(i\right),\left(ii\right),\left(iii\right),\left(iv\right),\left(v\right),\left(vi\right),\\ \left(vii\right),\left(viii\right),\left(ix\right)\end{array}\right]\\ =x^{\left(q-r\right)d}.R^{\left(p-1\right)\left(q-r\right)d}.x^{\left(r-p\right)d}.R^{\left(q-1\right)\left(r-p\right)d}.x^{\left(p-q\right)d}.R^{\left(r-1\right)\left(p-q\right)d}\\ =x^{\left(q-r\right)d+\left(r-p\right)d+\left(p-q\right)d}.R^{\left(p-1\right)\left(q-r\right)d+\left(q-1\right)\left(r-p\right)d+\left(r-1\right)\left(p-q\right)d}\\ =x^{\left(q-r+r-p+p-q\right)d}.R^{\left(pq-pr-q+r+qr-pq-r+p+pr-qr-p+q\right)d}\\ =x^{\left(0\right)d}.R^{\left(0\right)d}=x^0.R^0=1R.H.S.\\ L.H.S.=R.H.S.Henceproved.\end{array}$

Advance Group of Colleges Kanpur admissions are merit-based. The college offers a wide range of programmes to students at the UG, PG, and Diploma levels. Some of the popular courses offered at the Advance Group of Colleges include BPharm, BEd, MPharm, DPharm, and DELEd. To get admitted to Advance Group of Colleges, candidates must meet the eligibility criteria set by the college. 

This is a True or False Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Since,thenumberoftermsinthegivenexpressionis{\left(a+b\right)}^{n}is1morethanni.e.,n+1\\ Hence,thegivenstatementis\text{'}False\text{'}.\end{array}$

A number of criteria, including a candidate's areas of interest, financial constraints, and expectations for practical experience, influence their decision to enrol in IIAEIT's M.Tech program.  The institute specializes in subjects relating to aerospace. But careful consideration should be given to placement records, faculty, and infrastructure.

This is a True or False Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Givenexpressionis{\left(x-\frac{1}{x^2}\right)}^{2n}\\ T_{r+1}={}_{2n}{C}_r{\left(x\right)}^{2n-r}{\left(-\frac{1}{x^2}\right)}^r={}_{2n}{C}_r{\left(x\right)}^{2n-r}{\left(-1\right)}^r.\frac{1}{x^{2r}}\\ ={}_{2n}{C}_r{\left(x\right)}^{2n-r-2r}{\left(-1\right)}^r={}_{2n}{C}_r{\left(x\right)}^{2n-3r}{\left(-1\right)}^r\\ Forthetermindependentofx,2n-3r=0\\ \therefore r=\frac{2n}{3}whichisnotanintegerandtheexpressionisnotpossibletobetrue.\\ Hence,thegivenstatementis\text{'}False\text{'}.\end{array}$