O-LevelAdditional MathematicsPermutations and combinations4037/21 · May/June 2016 · Q108 Marks
Find how many 5-digit even numbers can be made using each of the digits 1, 2, 3, 4, 5 once only.
- (a)(i)Find how many 5-digit even numbers can be made using each of the digits 1, 2, 3, 4, 5 once only.[2]
- (a)(ii)Find how many different 3-digit numbers can be made using the digits 1, 2, 3, 4, 5 if each digit can be used once only.[2]
- (b)(i)the two women must sit next to each other,[2]
- (b)(ii)all three people must sit next to each other.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [M1] 2 x 4! or 2/5 x 5! oe
- [A1] 48
- [M1] 5P3 or 5!/2! or 5 x 4 x 3 oe
- [A1] 60
- [M1] 4 × 2[!] × 3oe Correct first step implied by a correct product of two elements
- [A1] 24
- [M1] 3! or 3 × 3 seen
- [A1] 18
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 →