Question

from two digit number using the digits 0,1,2,3,4 without repeating the digit A is the event that the number so from is greater than 30​

Answer 1

The given digits are 0,1,2,3,4,5

Number of two digit numbers that can be formed, as first place can be filed with 5 numbers and second place can be filed with another 5 numbers; 5×5=25

Now, number is an even number, with 0 at the end there can be 5 numbers, with 2 at the end there can be 4 numbers and with 4 at the end there can be 4 numbers. Hence, total numbers which are even =4+4+5=13

Numbers divisible by 3 are, 12,15,21,24,30,42,45,51,54

Thus, total numbers are, 9

There are only 4 number, viz. 51,52,53,54 which are greater than 50

Hence, n(S)=25,n(P)=13,n(Q)=9,n(R)=4