Question

a music school wants to expand its class schedule. to better understand the current schedule, the director looked at which instruments are taught or not taught on various days of the week. the venn diagram shows this information for two days of the week.
(a) how many instruments are not taught on wednesday?
(b) how many instruments are taught on both monday and wednesday?
(c) which instruments are taught on neither monday nor wednesday? choose all that apply.
bass
djembe
flute
guitar
harp
koto
lute
oboe
tuba
violin

Explanation:

Step1: Count non - Monday and non - Wednesday instruments for (a)

Count instruments outside the two circles. Violin, Flute, Lute are not taught on Monday or Wednesday. So there are 3 such instruments.

Step2: Count common instruments for (b)

Find the intersection of the Monday and Wednesday circles. Djembe, Harp, Tuba are taught on both days. So there are 3 instruments taught on both days.

Step3: Identify non - Monday and non - Wednesday instruments for (c)

Instruments not in either the Monday or Wednesday circles are Violin, Flute, Lute.

Answer:

(a) 3
(b) 3
(c) Violin, Flute, Lute