There are 720 permutations of the digits 1, 2, 3, ,4 5, 6. Suppose these permutations are arranged from smallest to largest numerical values, beginning from 123456 and ending with 654321. Then the digit in unit place of number at 267th position is________.

Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is formed. Find

How many numbers can be formed from the digits 1, 2, 3, 4 when repetition is not allowed?

Find the three-digit odd numbers that can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition is allowed.

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if the digits can be repeated?

Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. ^7C_4 d. none of these

The sum of the digits in the unit's place of all the 4-digit numbers formed by 3,4,5 and 6, without repetition , is

Four digit numbers are formed from the digits = [4 = 1, 2, 4, 5, 7, 8 (without repetition of digits). Q How many numbers can be formed.

Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all at a time are such that the digit 1 appearing somewhere to the left of 2 3 appearing to the left of 4 and 5 somewhere to the left of 6, is kxx7! Then the value of k is _________.

The number of four-digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition is