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Sound waves travel faster in water than in air due to the closer proximity of water molecules, allowing vibrations to be transmitted more quickly. However, light slows down when it passes from air into water because water has a higher optical density than air, reducing the speed of light. This phenomenon is crucial in various optical applications, including lenses and prisms.
In how many different ways can 4 blue beads and 3 red beads be arranged in a row such that all the blue beads are together and all the red beads are tog...
Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?
In how many different ways can the letters of the word “MONDAY” be arranged in such a way that the vowels always come together?
A total of 24 points are given on a plane, out of which 10 are collinear. How many distinct straight lines can be formed using these points?
In an election, a voter can vote for any number of candidates not exceeding the number to be elected. There are 7 candidates and 4 members to be elected...
In how ways can the selection be made so that a particular member is always excluded?
...In how many ways Barcelona’s football team captain and vice-captain be elected from a team of 15 men?
Find the number of words that can be formed by using all letters of the word 'TANGLE', if it starts with letter G and end with letter A.
Maria and Ariana were only two girls participating in a Billiards tournament. Every Participant played two games with every other participant. The numb...
