Question

10)
If two digit numbers are formed using the digit 0,1,2,3,4 without repetition of
the digits, then what is n(S)?
(A) 14 (B) 16 (C) 18 (D) 20​

Answer 1

Question Understanding :-

This question is taken from the chapter probability and here we have to the total outcomes which is generally denote with n(S) for finding total outcomes we have to draw the sample space first.

Solution :-

According to the question,

If the two digits are formed using the digit 0 , 1 , 2 , 3 and 4 with repetition of digits.

Let's draw the sample space S

{ 10 , 11 , 12 , 13 , 14 , 20 , 21 , 22 , 23 , 24 , 31 , 32 , 33 , 34 , 41 , 42 , 43 , 44 }

Therefore,

Total Outcomes n(S) = 16

Hence, n( S ) is 16

Option C is your answer mate .

Learn More :-

• Probability is defined as the favourable outcomes / total outcomes

• The probability of sure event is 1

• The probability of impossible event is 0$.$