- 10 In How Many Ways Can One To Put Seven Different Colored Balls Into Six Identical Boxes If Some Boxes Can Remain Empt 1 (89.32 KiB) Viewed 33 times
10 In how many ways can one to put seven different colored balls into six identical boxes, if some boxes can remain empty ? 121; 2470; 3 140; 301; 5 235; 6 63; 876; 8 350. A password consists of six symbols First symbol is an element of set {F, B, P, K, R, G, D, L, S}. Second and third elements are from set {d, g, s, r, m, q, e, f, v,c}. Last three symbols are digits 0,1, ..., 8, 9. How many different password can be made, if all three symbols must be different? (Combinations 021 or 120 are allowed, but combinations 100 or 011 - no.) (1) 648899; 2 648000; (3) 648338; (4) 647685; 5 648261; (6 810000. 12 Which collection of sets is set's {u, p, v, d, e, q, z, f, t} partition? A = {{e, f, p. q}, {t, z, u}, {v,d}}; B = {{e, f,t, z}, {u, v,g}, {d}}. 4 both. B; 2 no one; 3 A; 13 How many such partitions exists? 10022; (2) 118124; (3) 1624; 4 3025; (5) 2941; (6) 9330. 14 Which set of cycles is equal to set of cycles {(w, p, v), (u, s, r), A= {(c, a), (s, r, u), (p, w, v)}; 1 B; 2 A; 3 no one; 4 both. set's {v, u, p, a, c, w, s, r} (c, a)}? B = {(a, c), (v, w, p), (u,s,r)}. 15 How many such sets of cycles exists? (1) 1172700; (2) 301; (3) 13132; 4 966; (5) 76855; (6) 11186. 11