Permutation (S5 Level 1)

What does ₁₀P₅ mean?

• Permutations with 5 hot dogs and 10 drinks

• Permutations with 5 choices and 10 positions

• Permutations with 5 numbers and 10 operations

• Permutations with 10 choices and 5 positions

Permutation is the situation when

• The same result occurs when positions of objects are switched

• A different result occurs when positions of objects are switched

• counting principles are applied

• the arrangement order of objects are not important.

How many ways can you arrange the letters in the word math?

• 4

• 24

• 15

• 48

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

• 60

• 120

• 240

• 945

Using the digits 3, 4, 5, 6 and 7, without repetitions, calculate the number of four- digit numbers that are greater than 5000 that can be formed

• 120

• 12

• 24

• 72

A code is to be formed using A, B, C , D, E, F, 5, 6, 7 and 8. If the code must consists of 4 letters followed by 3 digits numbers, how many codes can be formed without repetition

• 144

• 8640

• 604800

• 3628800

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 3 pairs of shoes?

• 16

• 29030400

• 120

• 24

HKDSE Type question:

A six-digit password is formed by a permutation of 2, 3, 4, 6, 8 and 9. If the first digit and last digit of the password are even numbers, how many different six-digit passwords can be formed?

• 720

• 4320

• 288

• 48