Permutations MATHS - Permutations

The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is.

The number of five-digit telephone numbers having at least one of their digits repeated is:

A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is:

Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys.

Write the number of words that can be formed out of the letters of the word 'COMMITTEE'.

In how many ways 4 women draw water from 4 taps, if no tap remains unused?

Convert the following products into factorials:
1.3.5.7.9....(2n - 1)

Given 7 flags of different colours, how many different signals can be generated if a signal requires the use of two flags, one below the other?

Find the number of different 4-letter words, with or without meanings, that can be formed from the letters of the word 'NUMBER'.

How many words, with or without meaning, can be formed by using the letters of the word 'TRIANGLE'?

A number lock on a suitcase has 3 wheels each labelled with ten digits 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? Also, find the number of unsuccessful attempts to open the lock.

If P(5, r) = P(6, r - 1), find r

How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, if no digit is repeated? How many of these will be even?

In how many ways can the letters of the word 'ALGEBRA' be arranged without changing the relative order of the vowels and consonants?

Find the number of words formed by permuting all the letters of the following words:
INDIA.

If P(n, 4) = 12 . P(n, 2), find n.

If P(11, r) = P(12, r − 1) find r.

Find the number of words formed by permuting all the letters of the following words:
CONSTANTINOPLE.