Permutations and Combinations · Mathematics · TS EAMCET

The sum of all the 4-digit numbers formed by taking all the digits from $0,3,6,9$ without repetition is

The number of ways in which 6 distinct things can be distributed into 2 boxes so that no box is empty is

Number of ways in which the number 831600 can be split into two factors which are relatively prime is

If 4 letters are selected at random from the letters of the word PROBABILITY, then the probability of getting a combination of letters in which atleast one letter is repeated is

The number of ways of arranging all the letters of the word 'COMBINATIONS' around a circle so that no two vowels together is

If all the numbers which are greater than 6000 and less than 10000 are formed with the digits, $3,5,6,7,8$ without repetition of the digits, then the difference between the number of odd numbers and the number of even number among them is

A man has 7 relatives, 4 of them are ladies and 3 gents; his wife has 7 other relatives, 3 of them are ladies and 4 gents. The number of ways they can invite them to a party of 3 ladies and 3 gents so that the there are 3 of man's relatives and 3 of wife's relatives, is

All the letters of word 'COLLEGE' are arranged in all possible ways and all the seven letter words (with or without meaning) thus formed are arranged in the dictionary order. Then, the rank of the word 'COLLEGE' is

If all the possible 3-digit numbers are formed using the digits $1,3,5,7$ and 9 without repeating any digit, then the number of such 3 -digit numbers which are divisible by 3 is

A question paper has 3 parts $A, B$ and $C$. Part $A$ contains 7 questions, part $B$ contains 5 questions and Part Ccontains 3 questions. If a candidate is allowed to answer not more than 4 questions from part $A$; not more than 3 questions from part $B$ and not more than 2 questions from part $C$, then the number of ways in which a candidate can answer exactly 7 questions is

Among the 4 -digit numbers that can be formed using the digits $1,2,3,4,5$ and 6 without repeating any digit, the number of numbers which are divisible by 6 is

If the number of circular permutations of 9 distinct things taken 5 at a time is $n_1$ and the number of linear permutation of 8 distinct things taken 4 at a time is $n_2$, then $\frac{n_1}{n_2}=$

The number of ways in which 4 different things can be distributed to 6 persons so that no person gets all the things is

The sum of all the 4 -digit numbers formed by taking all the digits from $2,3,5,7$ without repetition, is

The number of ways in which 15 identical gold coins can be distributed among 3 persons such that each one gets atleast 3 gold coins, is

The number of all possible combinations of 4 letters which are taken from the letters of the word 'ACCOMMODATION', is

If ${ }^n c_r=c_r$ and $2 \frac{c_1}{c_0}+4 \frac{c_2}{c_1}+6 \frac{c_3}{c_2}+\ldots .+2 n \frac{c_n}{c_{n-1}}=650$, then ${ }^n C_2=$ $\qquad$