Counting: arrangements and selections

Question 1 of 10

Evaluate 5P3.

Question 2 of 10

A committee of 2 is to be chosen from 8 boys and 5 girls. In how many ways can this be done?

Question 3 of 10

ⁿCᵣ = ⁿCₙ₋ᵣ.

Question 4 of 10

Show that ⁿCᵣ + ⁿCᵣ₊₁ = ⁿ⁺¹Cᵣ₊₁.

Question 5 of 10

Evaluate 9P3.

Question 6 of 10

How many different arrangements can be made from the letters of the word KUMASI?

Question 7 of 10

In how many ways can 7 people be seated round a circular table?

Question 8 of 10

ⁿCᵣ is always less than or equal to ⁿPᵣ.

Question 9 of 10

5! = ___

Question 10 of 10

ⁿPₙ = n!.