The rank of the word "PUBLIC" is:
= (4x5! + 4x4! + 0x3! + 2x2! + 1x1! + 0x0!) + 1
= ((4x120) + 96 + 0 + 4 + 1 + 0) + 1
= 480 + 100 + 2
= 582
How many possible words can be created from the letters R, A, N, D (with repetition)?
Let A be a 3 × 3 matrix such that \(\text{det}(A) = 5\). If \(\text{det}(3 \, \text{adj}(2A)) = 2^{\alpha \cdot 3^{\beta} \cdot 5^{\gamma}}\), then \( (\alpha + \beta + \gamma) \) is equal to:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.