O-LevelAdditional MathematicsPermutations and combinations4037/11 · May/June 2014 · Q1010 Marks
How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit may be used only once in any number.
- (a)How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit may be used only once in any number.[4]
- (b)A committee of 8 people is to be chosen from 7 men and 5 women. Find the number of different committees that could be selected if
- (b)(i)the committee contains at least 3 men and at least 3 women,[4]
- (b)(ii)the oldest man or the oldest woman, but not both, must be included in the committee.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [B1] B1
- [B1] B1
- [B1] B1
- [B1] B1 for addition to obtain final answer, must be evaluated.
- [B1] B1
- [B1] B1
- [B1] B1
- [B1] B1 for addition to obtain final answer, must be evaluated.
- [B1] B1 for ¹⁰C₇
- [B1] B1 for realising there are 2 identical cases
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →