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Combination

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Question

Find the number of ways of selecting 4 even numbers from the set of first 100 natural numbers.

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Solution

Even number in first $160$ natural number are: $2, 4, 6, 8, . . . . . . . ., 100$
Total numbers are $= 50$
No. of ways of selrty $4 =^{50} C_{4}$

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