Pls help 2,3

Pls help 2,3 Chapter 10: Permutations and Combinations Objective Single Answer correct I. Nurr&' Of triplets Ot natural nurnber (a. b, c) for (A) 52 (B' 53 55 2. In a polygon no three diagonals are concurrent. If the total ru.rr&r of intersection of diagonals is 1820, the number ot diagonals o' the potywl : (A) 120 (B) 104 (D) 119 3. The 2-. 33.53.75 ot the torm4n. 1. n e N & : (A) 48 (B) .47 • (C) 49 (D) SO 4. r. s, t are prime numbers and p. q are the positive integers that LCM q is r2t4s2. then the number of ordered pair (p, q) is (A) 252 (B) 254 L'Ck-225 5. Number of ways in which AAA B B (D) 224 CAMERA 6,

Dear Student,

Q 2.A selection of four vertices of the polygon gives an interior intersectionLet the number of sides of the polygon be n. The number of sides = C4n = 1820nn-1n-2n-3 = 24×1820nn-1n-2n-3 = 16×15×14×13n = 16 Number of diagonals = C216-16 = 16×15×14!2! × 14!-16=120-16= 104Hence, option B is correct.

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