There are six teachers. Out of them two are primary teacher, two are middle teachers, and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teacher, and secondary teachers are always in a set. Find the number of ways in which they can do so.

m men and n women are to be seated in a row so that no two women sit together. If (m>n) then show that the number of ways in which they can be seated as (m!(m+1)!)/((m-n+1)!) .

Find the number of ways in which two small squares can be selected on the normal chessboard if they are not in same row or same column.

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one student he found he was short of 25 students. Find the number of students?

Find the number of ways in which 5 boys and 5 girls be seated in a row so that no two girls sit together

20 teachers of a school either teach mathematics or physics. 12 of them teach mathematics while 4 teach both the subjects. Then the number of teachers teaching only physics is

Transformer is a device used to increase or decrease the voltage in the transmission line according to requirement, Generally the input line voltage is fed in a primary coil and the output line voltage is obtained from the terminals of another coil In an ideal transformer, the primary and secondary coils are linked is such a way that there is no loss of magnetic flux and electrical energy. In an ideal transformer, if the number of turns and input voltage across the terminals of the primary coils be N_1 and V_1 , then the output voltage at the two terminals of the secondary coil V_2=V_1.N_2/N_1 , where N_2 is the number of turns in the secondary coil . In question (i) if the input power of the transformer be 44 W, then output power is

Transformer is a device used to increase or decrease the voltage in the transmission line according to requirement, Generally the input line voltage is fed in a primary coil and the output line voltage is obtained from the terminals of another coil In an ideal transformer, the primary and secondary coils are linked is such a way that there is no loss of magnetic flux and electrical energy. In an ideal transformer, if the number of turns and input voltage across the terminals of the primary coils be N_1 and V_1 , then the output voltage at the two terminals of the secondary coil V_2=V_1.N_2/N_1 , where N_2 is the number of turns in the secondary coil . In the above mentioned transformer the input and output currents are respectively.

Transformer is a device used to increase or decrease the voltage in the transmission line according to requirement, Generally the input line voltage is fed in a primary coil and the output line voltage is obtained from the terminals of another coil In an ideal transformer, the primary and secondary coils are linked is such a way that there is no loss of magnetic flux and electrical energy. In an ideal transformer, if the number of turns and input voltage across the terminals of the primary coils be N_1 and V_1 , then the output voltage at the two terminals of the secondary coil V_2=V_1.N_2/N_1 , where N_2 is the number of turns in the secondary coil . The ratio of number of turns of the primary and secondary coils of an ideal transformer is 2:1 IF the input voltage is 440 V, then output voltage is if the input power of the transformer be 44 W, then output power is In the above mentioned transformer the input and output currents are respectively.