In a group of 30 people, 15 run, 13 swim, 13 cycle, 5
run and swim, 8 cycle and swim, 9 run and cycle, and 5 do
all three activities. How many of the 30 people neither run
nor cycle? (draw the venn diagram


Question:
1. How many people likes to run?

2. How many People likes to run and swim?

3. How many likes 3 of the activity?

Note: Provide solutions and Draw the Venn Diagram 1/2 CW

Given:Total people = 30Run = 15, Swim = 13, Cycle = 13Run & Swim = 5Cycle & Swim = 8Run & Cycle = 9All three = 5Step 1: Assign values in the Venn diagram.Run ∩ Swim ∩ Cycle = 5Run ∩ Swim only = 5 – 5 = 0Cycle ∩ Swim only = 8 – 5 = 3Run ∩ Cycle only = 9 – 5 = 4Step 2: Find those in each single set only.Run only = 15 – (0 + 4 + 5) = 6Swim only = 13 – (0 + 3 + 5) = 5Cycle only = 13 – (3 + 4 + 5) = 1Step 3: Add them up.Total inside = 6 + 5 + 1 + 0 + 3 + 4 + 5 = 24Neither run nor cycle = 30 – 24 = 6AnswersPeople who like to run = 15People who like to run and swim = 5People who like all three activities = 5Neither run nor cycle = 6So the Venn diagram will have:6 (run only), 5 (swim only), 1 (cycle only), 0 (run & swim only), 3 (cycle & swim only), 4 (run & cycle only), and 5 (all three).

Answered by BrainlyModIsBusy | 2025-08-26