1.6: 5-digit numbers and combination equation
(a)(i)[1]
Find how many different 5-digit numbers can be formed using the digits 1, 2, 3, 5, 7 and 8, if each digit may be used only once in any number.
(a)(ii)[1]
How many of the numbers found in part (a)(i) are not divisible by 5?
(a)(iii)[4]
How many of the numbers found in part (a)(i) are even and greater than 30000?
(b)[4]
The number of combinations of items taken 3 at a time is 6 times the number of combinations of items taken 2 at a time. Find the value of the constant .