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Higher Study | Mathematics | Permutations and Combinations

If the letters of the word “CADET” are arranged in all possible ways and these words are written out as in dictionary order, then the word “CADET” appears at serial number
The number of diagonals in an octagon is?
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in a dictionary, then the word SACHIN appears at serial number
The remainder when the sum of 0! + 1! + 2! +.....+ 99! + 100! is divided by 12 is
In how many ways can 13 members of a school sit along a circular table, when the teacher is to sit on one side of the principal and the secretary on the other side?
How many 3-digit odd numbers can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition of digits is allowed ?
In how many ways five boys and five girls can stand in a circle when boys and girls standing one by one?
How many 4 digit even numbers can be formed by 2, 0, 1, 3, and 5 when repetition is allowed ?
The number of three-digit numbers that can be formed with 0, 1, 2, 3, 4 is, when repetition is allowed.
The number of three-digit numbers that can be formed with 0, 1, 2, 3, 4 is, when repetition is not allowed.
The number of 5 people groups that can be selected from 9 people when two particular persons are not to be in the same group is
A person wants to create a four digit pin for his smart phone using the digits 0, 1, 2, ...9. How many different pins can he generate when repetition of digits is allowed? Note: 0 can be included at all places.
The number of functions f from {1, 2, 3, …, 20} onto {1, 2, 3, …, 20} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is:
Number of ways of selecting 7 persons out of 9 persons when two particular persons come together only is
Ram can travel from Delhi to Mumbai either by 2 different trains or by 3 different buses or by 1 plane whereas he can travel from Mumbai to Andaman by two different planes.In how many ways he can reach Andaman from Delhi via Mumbai?
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