Page 101 - NUMINO Challenge_C2
P. 101
Type 11-2 Tree Diagrams
Four children are wearing identical hats. All four of them take their hats
off to play. When the children put their hats back on, find the number
of outcomes when all the children wear someone else’s hat.
1 Find the number of outcomes when a child wears another child’s hat.
2 Let A, B, C, and D represent the four children and a, b, c, and d represent
their hats. Complete the tree diagram when A wears hat b.
ABCD
badc
cda
d
3 Find the number of outcomes when A wears hat b.
4 The number of outcomes when A wears hats c and d is the same.
Therefore, the total number of outcomes can be found using
multiplication. Fill in the blank.
33
5 Three children are wearing identical hats. They take them of f and put
them back on. Find the number of outcomes when all three children wear
someone else’s hat.
98 NUMINO Challenge C2
Four children are wearing identical hats. All four of them take their hats
off to play. When the children put their hats back on, find the number
of outcomes when all the children wear someone else’s hat.
1 Find the number of outcomes when a child wears another child’s hat.
2 Let A, B, C, and D represent the four children and a, b, c, and d represent
their hats. Complete the tree diagram when A wears hat b.
ABCD
badc
cda
d
3 Find the number of outcomes when A wears hat b.
4 The number of outcomes when A wears hats c and d is the same.
Therefore, the total number of outcomes can be found using
multiplication. Fill in the blank.
33
5 Three children are wearing identical hats. They take them of f and put
them back on. Find the number of outcomes when all three children wear
someone else’s hat.
98 NUMINO Challenge C2
