The number of different permutations that can be formed by taking 4 letters at a time from the letters of the word 'REPETITION' is

The number of different ways of preparing a garland using 6 distinct white roses and 6 distinct red roses such that no two red roses come together, is

The number of ways a committee of 8 members can be formed from a group of 10 men and 8 women such that the committee contains at, most 5 men and atleast 5 women, is

If all the letters of the word CRICKET are permuted in all possible ways and the words (with or without meaning), thus formed are arranged in the dictionary order, then the rank of the word CRICKET is