A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is

Question

A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is (A) 31 (B) 30 (C) 29 (D) 32

Tardigrade Admin · Accepted Answer

5 C 1+ 5 C 2+ 5 C 3+ 5 C 4+ 5 C 5=31 But 1 is correct. Number of incorrect =31-1=30.

Q. A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is

31

30

29

32

$^{5} C_{1} +^{5} C_{2} +^{5} C_{3} +^{5} C_{4} +^{5} C_{5} = 31$
But 1 is correct. Number of incorrect $= 31 - 1 = 30$ .

Q. A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is

31

30

29

32

5C1​+5C2​+5C3​+5C4​+5C5​=31 But 1 is correct. Number of incorrect =31−1=30.

$^{5} C_{1} +^{5} C_{2} +^{5} C_{3} +^{5} C_{4} +^{5} C_{5} = 31$
But 1 is correct. Number of incorrect $= 31 - 1 = 30$ .