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; 4301; 5 235; 6 63; 7876; 8 350.
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; 4301; 5 235; 6 63; 7876; 8 350.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3T: An Internet service provider requires its customers lo select a password consisting of four letter...
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Transcribed Image Text: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
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