Find the number ofpermutations of 6 digits1,2,3,4,5,6 where each digit isto be used exactly once sothat the chosen permutationchanges from increasing todecreasing or decreasing toincreasing at most once(egthe strings like123456,654321,126543areacceptable but 132456 are notacceptable

A permutation of 5 digits from the set {1,2,3,4,5} where each digit is used exactly once, is chosen randomly. Let p/q expressed as rational in lowest form be the probability that the chosen permutation changes from increasing to decreasing, or decreasing to increasing at most once e.g. the strings like 12345,54321,12543 and 53214 are acceptable but strings like 13245 or 53241 are not.find (p+q).

The number of 3 digit numbers using 1, 2, 3, 4, 5 if no digit is to be used more than once in each number is.

Find the number of 4 digited numbers using the digits 1,2,3,4,5,6 that are divisible by 2 when repetitions are allowed

Find the number of permutations of 4-digit numbers that can be formed using the digits 1,2,3,4,5,6 when repetition is alowed.

How many 4-digit odd number can be formed using the digit 0,2,3,5,6,8 (each digit occurs only once)?

The number of 3-digit odd numbers, by using the digits 1,2,3,4,5,6 when the repetition of digits is allowed is :

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

From the digits 1,2,3,4,5,6 how many three - digit odd numbers can be formed when the repetition of the digits is not allowed?

Find the number of 4 digit odd numbers that can be formed using the digit 4,6,7,9,3 so that each digit occurs at most once in each number.