Permutation and combination - 1 || Quantitative Aptitude || CAT 2021 || 05 June

In how many different ways can the letters of the word ‘TABLE’ be arranged?

In how many different ways can the letters of word RABBIT be arranged?

In how many different ways can the letters of the word ‘BOOKKEEPER’ be arranged?

In how many different ways can the letters of the word ‘SUBJECTION’ be arranged so that all the vowels always come together?

In how many different ways can the letters of the word ‘FINDER’ be arranged so that the vowels are never together?

In how many different ways can the letters of the word ‘ACTION’ be arranged so that the vowels occupy only the odd positions?

How many five digits can be formed using the digits 0, 3, 5, 7, 9, 5 and 8 (repetition is not allowed)?

How many 5-letter words with or without meaning, can be formed out of the letters of the word, ‘DIRECTLY’, if repetition of letters is not allowed?

How many 4-digit numbers can be formed using the digits 9, 8, 7, 6, 0, 4 and 3 such that repetition of digits is allowed?

How many 6 letter words can be formed from the letters of the word “SPECTRUM” so that S and M occupies the end positions and repetition of the letters is allowed?