Permutation Combination

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions

A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. Total number of ways in which he can arrange the guests is

At an election a voter may vote for any number of candidates not exceeding the number to be elected. If 4 candidates are to be elected out of the 12 contested in the election and voter votes for at least one candidate,…

If ${ }^{22} P_{r+1}:{ }^{20} P_{r+2}=11: 52$, then $r$ is equal to

The number of arrangements of all digits of 12345 such that at least 3 digits will not come in its position is

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions?

Number of words from the letters of the words BHARAT in which $B$ and $\mathrm{H}$ will never come together is

The number of ways of arranging letters of the word HAVANA so that $\mathrm{V}$ and $\mathrm{N}$ do not appear together is

The number of different seven-digit numbers that can be written using only the three digit 1 , 2 and 3 with the condition that the digit 2 occurs twice in each number is

How many numbers lying between 999 and 10000 can be formed with the help of the digits $0,2,3,6,7,8$, when the digits are not repeated?

A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is

Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to