The number of ways in which the letters of the word PERSON can placed in the squares of the given figure so that no row remains empty is a. `24xx6!` b. `26xx6!` c. `26xx7!` d. `27xx6!`

The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remain empty is :

Find the number of ways in which 5A^(prime)s and 6B ' s can be arranged in a row which reads the same backwards and forwards.

Find the number of ways in which 6 boys and 6 girls can be seated in a row so that all the girls sit together and all the boys sit together.

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is a. ^52C_(26). 2^(26) b. ^104 C_(26) c. ^(52)C_(26) d. none of these

There are (n+1) white and (n+1) black balls, each set numbered 1ton+1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colors is a. (2n+2)! b. (2n+2)!xx2 c. (n+1)!xx2 d. 2{(n+1)!}^2

Find the number of rectangles excluding squares from a rectangle of size 9 xx 6

Let's fill in the blank squares given below:- (-4)^2 xx 6^2 = ?^2

In a group of boys, two boys are brothers and six more boys are present in the group. In how many ways can they sit if the brothers are not to sit along with each other? a. 2xx6! b. ^7P_2xx6! c. ^7C_2xx6! d. none of these

In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is a. "^8P_6-2(6!) b. "^8P_6 c. "^8P_5(6!) d. none of these

The number of words of four letters containing equal number of vowels and consonants, where repetition is allowed, is a. 105^2 b. 210xx243 c. 105xx243 d. 150xx21^2