Web1. nC1+2. nC2+3. nC3+.....+n nCn is equal to (A) (n(n+1)/4)2n (B) 2n+1-3 (C) n.2n-1 (D) none of these. Check Answer and Solution for above question fr WebDetermine n if 2nC 3: nC 3=12:1. Easy Solution Verified by Toppr We have, 2nC 3: nC 3=12:1⇒ nC 32nC 3= 112⇒ (2n−3)!3!2n!. n!(n−3)!3!=12⇒ (2n−3)!n!2!(n−3)! =12⇒ …
Determine n if,i. 2nC3:nC3=12:1ii. 2nC3:nC3=11:1
WebMar 19,2024 - If 2nC3 : nC2 = 12 : 1, then the value of n is?a)6b)5c)4d)3Correct answer is option 'B'. Can you explain this answer? EduRev UPSC Question is disucussed on … Web2nC3:nC3 =12: 1 Putting values from (i) and (ii) ⇒ 2n(2n−1)(2n−2) 6: n(n−1)(n−2) 6 =12:1 ⇒ 2n(2n−1)2(n−1): n(n−1)(n−2) =12 ⇒ 4(2n−1) (n−2) = 12 ⇒ 2n−1 n−2 = 12 4 ⇒ 2n−1= 3(n−2) ⇒ 3n−2n−6+1 =0 ⇒ n−5= 0 ⇒ n= 5 (ii.) Calculating 2nC3 and nC3 separately. 2nC3 = 2n! 3!(2n−3)! = 2n(2n−1)(2n−2)(2n−3)! 3×2×1×(2n−3)! 2nC3 = 2n(2n−1)(2n−2) 6 ...(i) riverside of blairs aberdeen
Ex 7.4, 1 - If nC8 = nC2, find nC2 - Chapter 7 Class 11 - Ex 7.4
WebIf 2n C 3 : n C 2 = 12 : 1 Formula used : n C r = n!/r! (n - r)! Calculation: If 2n C 3 : n C 2 = 12 : 1 ---- (1) Using the formula 2n C 2 = {2n!/3! (2n - 3)!} ⇒ 2n (2n - 1) (2n - 2) (2n - 3)!/ … WebFor what value of n is n +1C3 = 4(nC3)?. This question For what value of n is n +1C3 = 4(nC3)? is a jamb, neco, waec maths question. All the maths questions on this site are free, ... Let Tn denote the number of triangles which can be formed using …. Calculating the value of n: Given the number of triangles that formed using the vertices of a ... WebLet n be a positive integer. Then, factorial n, denoted n! is defined as : n! = n × (n - 1) × (n - 2) ... 3 × 2 × 1 . The different arrangements of a given number of things by taking some … smoke pt l/s shirts