Permutations an...

The number of distinguishable ways in which the 4 faces of a regular tetrahedron can be painted with 4 different colours is

Find Rank of word ‘wife ‘among the words that can be formed with its letters and arranged as in dictionary is

The number of even numbers that can be formed by using all the digits 1, 2, 3, 4, and 5 (without repetitions) is

The number of all numbers that can be formed by using some or all of the digits 1, 3, 5, 7, 9 (without repetitions) is

In a multiple choice question, there are 4 alternatives, of which one or more are correct. The number of ways in which a candidate can attempt this question is

In how many ways can the letters of the word ‘MATHEMATICS ‘be permuted so that consonants always occur together?

The number of selections of n different things taken r at a time which exclude m particular things is