11:[["$","meta","0",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","1",{"charSet":"utf-8"}],["$","title","2",{"children":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is | MATH - MATHEMATICAL INDUCTION AND DIVISIBILITY PROBLEMS | SolveeIt | Solveeit"}],["$","meta","3",{"name":"description","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is\n Options: squared¹⁰, 5¹⁰, squared¹⁰–1, 5¹⁰ –1, Ne..."}],["$","meta","4",{"name":"application-name","content":"Solveeit"}],["$","meta","5",{"name":"author","content":"SolveeIt Team"}],["$","link","6",{"rel":"manifest","href":"/manifest.json","crossOrigin":"use-credentials"}],["$","meta","7",{"name":"keywords","content":"AI doubt solver,JEE NEET AI tutor,accurate exam solutions,verified answer platform,doubt solver,AI tutor,IIT JEE preparation online,NEET UG exam help,engineering entrance solutions,medical entrance doubts,JEE preparation,NEET preparation,exam preparation,entrance exam,engineering entrance,medical entrance,best AI for JEE questions,NEET physics chemistry biology doubts,24/7 doubt solving for exams,step-by-step problem solutions,JEE questions,NEET questions,better than doubtnut,alternative to byjus,chegg replacement for JEE,JEE preparation India,NEET coaching online India,AI tutor for Indian students,JEE main advanced mathematics,NEET UG biology questions,physics numerical solver,chemistry organic reactions helper,MH CET preparation,BITSAT preparation,CET exam,IIT Bombay,BITS Pilani,IIT JEE,AIIMS preparation,top college preparation,error-free solutions,IIT alumni verified answers,real-time doubt clearing,exam pattern specific practice"}],["$","meta","8",{"name":"creator","content":"SolveeIt"}],["$","meta","9",{"name":"publisher","content":"SolveeIt"}],["$","meta","10",{"name":"robots","content":"index, follow"}],["$","meta","11",{"name":"googlebot","content":"index, follow, max-video-preview:-1, max-image-preview:large, max-snippet:-1"}],["$","link","12",{"rel":"canonical","href":"https://solveeit.ai/question/the-sum-of-the-series-sup10supcsub1sub-4-sup10supc"}],["$","meta","13",{"name":"format-detection","content":"telephone=no, date=no, address=no, email=no, url=no"}],["$","meta","14",{"name":"apple-mobile-web-app-capable","content":"yes"}],["$","meta","15",{"name":"apple-mobile-web-app-title","content":"Solveeit - AI Doubt Solver"}],["$","meta","16",{"name":"apple-mobile-web-app-status-bar-style","content":"black-translucent"}],["$","meta","17",{"property":"og:title","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is | MATH - MATHEMATICAL INDUCTION AND DIVISIBILITY PROBLEMS | SolveeIt"}],["$","meta","18",{"property":"og:description","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is\n Options: squared¹⁰, 5¹⁰, squared¹⁰–1, 5¹⁰ –1, Ne..."}],["$","meta","19",{"property":"og:url","content":"https://solveeit.ai/question/the-sum-of-the-series-sup10supcsub1sub-4-sup10supc"}],["$","meta","20",{"property":"og:image","content":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1994.png?top_left_x=0&top_left_y=1768&width=532&height=228&app=solveeit"}],["$","meta","21",{"property":"og:image:width","content":"1200"}],["$","meta","22",{"property":"og:image:height","content":"630"}],["$","meta","23",{"property":"og:image:alt","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is | MATH - MATHEMATICAL INDUCTION AND DIVISIBILITY PROBLEMS | SolveeIt"}],["$","meta","24",{"property":"og:type","content":"article"}],["$","meta","25",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","26",{"name":"twitter:title","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is | MATH - MATHEMATICAL INDUCTION AND DIVISIBILITY PROBLEMS | SolveeIt"}],["$","meta","27",{"name":"twitter:description","content":"The sum of the series 10C1. 4 + 10C2 42 + …… + 10C10 410 is\n Options: squared¹⁰, 5¹⁰, squared¹⁰–1, 5¹⁰ –1, Ne..."}],["$","meta","28",{"name":"twitter:image","content":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1994.png?top_left_x=0&top_left_y=1768&width=532&height=228&app=solveeit"}],["$","link","29",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"16x16"}],["$","meta","30",{"name":"next-size-adjust"}]]

Question: The sum of the series <sup>10</sup>C<sub>1</sub>. 4 + <sup>10</sup>C<sub>2</sub> 4<sup>2</sup> + …… ...

Solution