Partial preview of the text
Download class lecture notes for jee and more Lecture notes Physics in PDF only on Docsity!
4 Pomedion of prep i QO no of woge dn winch cman) ippoet Bry cam ve olivida Jon geo group, 8 coubaininy m things ond othe conthal wing ac Abia: 2) Lnen) | TQ ™ qa” mi mn! ek* Gut of, four opwu P,P, Pa, Py ia . footw, swo ARaws Ors em 3 Sey and ottyt onl {S041 pos 4\ 2 —ay # \ e tn oY Es Dwide P| P., Ps, Py wo prefs & ME x 1 Geplainstion | ded &\ a td od ¥ w Hen P, Ps Py Aye aa p, Ps P. R Age =| Fy p Pz 0, | Pee Total no. ; (ae) No of Woy + which (mtn rP) dippowrdh tings con bE aividud ito ZO) Iw how omy war © buncdtes 4 he U L Ao be mode such thet o bunclles axk % gtoys jath , > bundlig arg 8 AOS wach and 2 bundle, o 1 fey tach 9 a Pe (UIS*s 4 voy \2 1 : x—— _ \2a | rer Oy rok #B saah oar toeh ot ip ae, dad gy Tote no. + woag an which 200 [Sksone con bd liv pao yo, squall props yoo 200 | A (~~sS t ent oY Cy _ +e Grouping Hom wuegiment '- HY mani coe olif ferent Hany cam be otivtdedl Ln be altatributed to throw pesom fan fapied wos = Goenh) xs) miu) pb a Find wo. of Woy by which AtudeTs Con bL aided into Mow pioufu -% @, © ~© and Sud to thw diffaseart pectin a + 2,0 zo) 3) a 21 yo) g | Sa = Ww A —~ : Tea 8 Find mo of wou by which five aifpescoct objects given to Mow Atudsut;. “_ s Jy, a - G1 ™ s! 2! La8) 4 EG a 2 1h sv! xt 1 1 oe [oor (1,1, 32 GY By Lp 1, LF Cm Four faces of a tetrahedral dice are marked with 2, 3, 4, 5, The lowest face being considered as fibdibestecselAcl tid poe eI the outcome. In how many way a total of 30 can occur in7 throws. we 5.5,5, 5,5, 2, % We. of Werzs 7! < ———— = 3] a 5,55, 0 cH 7 * - 5,518, 7 4) 3,3 “reat = 5,5, 5) u,4, 4,3 3 - = 55, 444,44 as OU” & —_——_ How many 5 lettered words can be formed using the letters of the words "INDEPENDENCE". ee Cc (x-1) D2, E54, NSB , Po, e-1 | & pp eee GS — 1 ys otike sx 2 Vo dif. po} —a — jm | ! qe atk, %& « So = a2 dibs 7 3 va _ wom | ee p> obike J a) 2) : cl ee a so fe ' 21 ee £1 a- adie BAK —~ . eee wet gt 2) Cri Ast orange to ahaa aateucd a a polo s~ (ea)! = 4) — BE oe a ul osu ©) Y onticlock o prticloek onc clock wise ” Prom No: of, Ce ~~ Pesmmctahon — KO (m-1)! < C Se (©) Find number of ways in which 7 American and 7 British people can be seated on a round table so that no two Americans are consecutive. &) Find number of circular permutation of n persons if two specific people are never together. @ n different things are arranged in a circle. In how many ways can three objects be selected if (a) all the three objects are consecutive (b) at least two of the objects are consecutive (c) no two objects are consecutive tp Todel Nor of Combination ~ (8.7) Ce ste of 8 ne Mi “C+ “et Meg Hud —_ EK" ZZ whi Ae owe or mol 2, pre As dinner 71 S oar ke rhe ---t y= a —| fo) Te te of Selecting cere ot meret sings ot of jolenti cal Ais aw > (n+1) Yo oy5~ Lalectiny o nothivg = 1 Ww ogg gelrotivg 1 vy > 1 Woy ~_ , wey —_— —- =~ lw —_—_ * — wo of warps Selecting ane on mane Ags at wich pow slike fon Hed, fore second Kind a odike -f UL oad a“ on olif ferent fia 5 | (ers «(tt) x ne | (Cf) Permutation Combination SINGLE CHOICE CORRECT QUESTIONS ©, Aroad network as shown in the figure connect f rtf ( & ako four cities, In how many ways can you start from any city (say | 4)and come back to it without travelling on the'same toad more than once ? ——!_ O ooagad Lig eA 2x2 & to Pee o2 6 yo 2 | ZY 2 SA | 8 baw? G2 9 (0) 16 » im ; aR > 8 1, 2,3, 4 and 5 are kept in a row and they ate necessarily to be filled with either a red or a B blue ball such that no two adjacent boxes can be filled with blue balls. How many different arrangements are & aR __ possible, given that the balls of a given colour are exactly identical in all respects ? (B) 10 4o13 oX BK . Unfortunately he does not remember the 7 digit number. But he remembers that the first three digits are 635 or 674, the number is odd and there is 3 Oo Q cone 9 in the number. The maximum number of trials that r has to make to be successful is - eR ) 10,000 (B) 3402 (C) 3200 (D) 5000 as! Bw number of ways in which 5 different books can be distributed among 10 people if each person can get AR ‘most one book is - AR 252 {B) 10° (c)5° (D) °c, 5! a ae umber of ways in which 9 different prizes can be given to 5 students, if one particular student receives 4 prizes and the rest of the students can get any numbers of prizes is - 2,3, test (B) °C, .5* 4.4 (D) None of these [a — ed if 1 18 points are indicated on the perimeter ofa triangle ABC (see figure). How many triangles are there with ® oo “L 1,315) vertices at these points? a J } q uv 635 — —— —_ PK qXTx YR c (A) 331 (B) 408 (710 (D)711 be q __ ifallthe letters of the word “QUEUE” are arranged in all possible manner as they are in a dictionary, then axva4a Xe Yo __ "the rank of the word QUEUE is - 4 (a) 15" (B) 16" (c)17* (p) 18" 2 oie KRAKRIVRK = Number of numbers greater than a million and divisible by 5 which can be formed by using only the digits 4 ~— —*1,2,1,2,0,5&2is- () 110 (C)90 (D) None of these oe a TRAX GR) = (c) 10! (D) 10! 9; ONS BIoNIe ° the digits 1, 3, 5, 7 such prillovo it ra mo dati, (D) 114712 bout a round table if two parti atta by Ny D)None othe 3 eated on a round table if a particular __ [JEE-MAIN oO) — (4)6 x6! Athy f= Pal Permutation Combination fore ord g min gi Ifthe number of five digit numbers with distinct digits and 2 at the 10" place is 336 k, then k is equal to : 1g 24. q [JEE-MAIN ONLINE-2020} v (a He (34 (4)7 N ang NE2o)! 95, letn > 2 bean integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of staions is connected by a straight track only. Further, each pair of nearest stations is connected by blue line, whereas all remaining pairs of stations are connected by red line. If the number of red lines is 99 vB times the number of blue lines, then the value of n is := [JEE MAINS - ONLINE - 2020} F201, (1) 199 (2) 101 (3) 201 (4) 200 26, Thetotal number of positive integral solutions (x, y, 2) such that xyz = 24is: [JEE MAINS - ONLINE - 2021] ara (1)36 (2) 24 (3) 45 (4) 30 N29}, 27. Ifthe sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total ; number of triangles that can be constructed using these points as vertices, is equal to : [JEE MAINS - ONLINE - 2021] pes (2240) (3) 333, (4) 360 SECTION - 2: NUMERICAL ANSWER BASED QUESTIONS A test consists of 6 multiple choice questions, each having 4 altemative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the ie — P [JEE MAINS - ONLINE - 2020] data) 324) The students Sy, S,,...... Syo are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most 3 students. Then the total number of possibilities of forming such US ee alt Je xs Pp Regen [JEE MAINS - ONLINE - 2021] _ The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of digits is not allowed and numbers are divisible by either 3 or 5, is PE [JEE MAINS - ONLINE - 2021] The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is . [JEE MAINS - ONLINE - 2021) The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit “1” and they all are multiple of 11, is ‘ [JEE MAINS - ONLINE - 2021) ~The total number of three-digit numbers, with one digit repeated exactly two times, is [JEE MAINS - ONLINE - 2022) A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. , [fhe can choose at most two language courses, then the number of ways he can choose five courses is eh j 3 [JEE MAINS - ONLINE - 2023) The number of permutations ofthe dis 1,2, 3, )-158nor the string 2467, is____ 4 -7 without repetition, which neither contain the string (JEE MAINS - ONLINE - 2023} 9° The sum ofall the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to ee [JEE MAINS - ONLINE - 2023] 45 
