Permutations and combinations
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Read this first
Outcome list, started
S first: ST, SU, SV, SW, SX, SY, SZ. T first: TS, TU, TV, TW, TX, TY, TZ. The list goes on the same way for U to Z first.
Jun picks a first song and a second song for the class show from 8 songs, S to Z. How many ordered pairs of songs are possible?
Outcome list, started
A in front: AB, AC, AD, AE, AF, AG. B in front: BA, BC, BD, BE, BF, BG. The list goes on the same way with C to G in front.
Kira chooses who sits in the front seat and who sits in the back seat of a two-seat boat from 7 friends, A to G. How many seatings are possible?
Tree, started
6 branches for the left seat. Under A: 5 branches for the middle seat (B, C, D, E, F). Under A then B: 4 branches for the right seat (C, D, E, F).
Luz fills the left, middle and right seats of the front row from 6 friends, A to F, one friend per seat. How many seatings are possible?
MO, MP, MT, OM, OP, OT, PM, PO, PT, TM, TO, TP. MO and OM are the same pizza. Noah picks 2 of 4 pizza toppings: mushroom (M), olive (O), pepper (P) and tomato (T). How many different pairs of toppings are possible?
Ordered list
5 × 4 × 3 rows. The set A, B, C shows up as 3 × 2 × 1 rows: ABC, ACB, BAC, BCA, CAB, CBA.
Pia chooses 3 of 5 library books, A to E, to take home. How many different sets of 3 books are possible?
Tala sets 6 different plants in a row on the windowsill. How many different orders are possible?
Zee stacks 4 different books in one pile on a desk. How many different orders are possible?
Bo sets the running order for 7 friends in a relay, one runner for each leg. How many running orders are possible?
Esme checks a homework answer for P(9, 2), the number of ordered pairs from 9 things. What is P(9, 2)?
Jun works out P(10, 2), the number of ordered pairs from 10 things, for math club. What is P(10, 2)?