An athletic club has 248 members. of these, 164 lift weights and 208 perform cardiovascular exercises how many do both

124 members

Step-by-step explanation:

Suppose L represents the number of members of lift weight and C represents the number of members who perform cardiovascular exercises,

So, according to the question,

n(L) = 164,

n(C) = 208

n(L∪C) = 248,

∵ n(L∪C) = n(L) + n(C) - n(L∩C)

⇒ 248 = 164 + 208 - n(L∩C)

⇒ 248 + n(L∩C) =  372

⇒ n(L∩C) = 372 - 248 = 124

Hence, 124 members do both lift weights and cardiovascular exercises.

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