Tanya prepared 4 different letters to be sent to 4 different addresses. for each letter, she prepared an envelope with its correct address. if the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?

Step-by-step explanation:

Given that Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its correct address. The 4 letters are to be put into the 4 envelopes at random.

Probability that only 1 letter will be put into the envelope with its correct address has to be calculated

If 1 is to be done right, all other three should be in wrong.

The possibilities of putting all three covered in wrong envelopes

(2,3,1) Or (3,1,2) hence only 2

The right one can be any one of 4.

Hence total no of ways of putting in the desired manner =4 (2) =8

Total no of ways of putting envelopes = 4! =24

Hence prob=

this answer is !

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc