Others Maths Puzzle

there are 5 different boxes b1,b2,b3,b4,b5 and 5 different hats h1,h2,h3,h4,h5. the hats are to b distributed among boxes.each box can accommodate all hats. what is the probability that b1 has either h1 or h2?? explain

Read Solution (Total 1)

I take it that "either H1 or H2" includes both H1 & H2.
If B1 has H1, each of the other 4 hats has 5 choices for boxes, thus 5^4 ways
similarly, if B1 has H2 , another 5^4 ways
but this double counts if B1 has both H1 & H2,
the remaining 3 have 5 choices each, 5^3 ways
thus ans = 2*5^4 - 5^3 = 1125
9 years agoHelpfull: Yes(0) No(0)

Others Other Question

A paragraph is given below from which the last sentence has been deleted. From the given options,choose the one that completes the paragraph in the most appropriate way.
Here are a few scenes from a revolution: In early February, Barack Obama ended a six-month pressconference drought by taking questions from YouTube. When a madman crashed his plane into a
Texas office building a couple of weeks later, the White House responded on its blog.
__________________________________
(a) In response, Obama’s advisers have had to remake the rules of presidential p.r.
(b) But the White House has proved to be a harder perch from which to dominate the conversation.
(c) During the 2008 campaign, Obama’s team had been able to exploit new technologies as no political campaign had before.
(d) And during the bipartisan summit on health reform, press secretary Robert Gibbs used Twitter to keep score. Five people A, B, C, D and E stay in five different rooms of GMVN Hotel. Their rooms lie in a row and are numbered serially from ‘101’ to ‘105’. The number of C’s room is smaller than that of E’s room which in turn is smaller than that of A’s room. Moreover, the difference between the room numbers of E and C is the same as the difference between the room numbers of A and E. D is in room number 104 and his room is not next to E’s room. What is E’s room number?
(a) 102 (b) 101 (c) 105 (d) Data Insufficient