What is the probability that at least one of the envelope has the right card inside?

In 4 out of 6 combinations, there is at least one letter in the correct envelope. Hence the probability of having at least one letter in the correct envelope is 46.

What is the probability that a clerk while randomly placing?

1 Expert Answer You can solve this problem using permutations. Imagine we’ve put all four envelopes in a row on the table. We’re going to choose letters one by one to go in each envelope in order. This means order matters; we can use permutations to figure out how many possible orderings there are.

How many arrangements are possible for Bahama?

They can be arranged in 4!

How many ways can three different letters be mailed i four different mail boxes assuming that each box can receive more than one letter?

First box can get 3 letters in 3 ways. Similarly, second box can also get the 3 letters in 3 ways. Third and fourth box can also get the 3 letters in 3 different ways. Hence, total number of ways in which 3 letters can be posted in 4 different boxes in 3*3*3*3=81 ways.

What is the probability that no letter is in its proper envelope?

So then probability is : 44/120.

What is the probability that only 1 letter will be put into the envelope with its correct address?

But the answer is given that, 1/3.

How do you find the number of derangements?

(−1)r​. Let there be n n n distinct objects with their n n n distinct respective positions. Then the number of derangements is n ! − N , n!-

How many ways can you insert exactly 2 letters into envelopes?

Since there are 4 envelops, there are 4 different ways to accomplish this. So, the value is 4 chose 1. Each of the other three letters must be in a wrong envelope and each of the three has 1 choice of 2 possible wrong letters. There are 4 choose 2 ways to insert exactly 2 letters into their correct envelopes.

How many ways can you put 3 letters in a letter?

There is no way to insert exactly 3 letters into their correct envelopes because the fourth one would necessarily also have to be in its correct envelope. There are 4 chose 4 ways to insert all 4 letters into the correct envelopes, which is equal to 1.

How many ways can you put the wrong letter in envelopes?

There are 5!=120 ways to put one letter in each envelope, of which only one has every letter in the right envelope. Therefore, there are 119 ways to mess it up. We can sort the faulty letter placements according to which envelope first got the wrong letter:

How many ways can the Secretary place the letters in envelopes?

So, there must be 3 possible ways to assign the remaining letters with L1 assigned to E3, and there must be 3 possible ways to assign the remaining letters with L1 assigned to E4. Therefore, there are a total of 3 + 3 + 3 = 9 ways the secretary can place the letters in the envelopes so that NO letter is placed in its correct envelope.