A cuboid has dimensions 6 cm, 8 cm, and 10 cm. What is the length of the diagonal of the cuboid?
The length of the diagonal of a cuboid is given by: Diagonal = √(l² + w² + h²), where l, w, and h are the dimensions. Diagonal = √(6² + 8² + 10²) = √(36 + 64 + 100) = √200 = 10√2 ≈ 14.14 cm.
In how many different ways can the letters of the word ‘VARIOUS’ be arranged in such a way that the vowels occupy only the odd positions?
...In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?
6 students appear in an examination. In how many ways can the result be announced?
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.
Among a set of 6 black balls and 3 white balls, how many selections of 5 balls can be made such that at least 3 of them are black balls?
A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?
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In how ways can the selection be made so that a particular member is always excluded?
An examinee is required to answer the eight questions out of 16 questions which are divided into two groups each containing eight questions each and he...
