Mayank is going on a holiday trip-he wants to pack 3 t-shirt from 5 t-shirt he has- In how many ways can he make his choice - Maths Q-A

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Standard VII

Mathematics

Operations on Rational Numbers using PEMDAS Rule

Mayank is goi...

Question

Mayank is going on a holiday trip. He wants to pack $3$ t-shirts from $5$ T-shirts he has. In how many ways can he make his choice

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Solution

Find the number of ways.
Given: Total t-shirts are $5$ .
He wants to pack $3$ t-shirts.
A number of ways he can choose are.
Combination Formula $= {}^{n}C_{r} = \frac{n!}{r! (n - r)!}$
${}^{5}C_{3} = \frac{5!}{3! (5 - 3)!} = \frac{120}{6 \times 2} = 10$
Therefore there are $10$ ways.

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Mayank is going on a holiday trip. He wants to pack 3 t-shirts from 5 T-shirts he has. In how many ways can he make his choice

Find the number of ways.Given: Total t-shirts are 5.He wants to pack 3 t-shirts.A number of ways he can choose are.Combination Formula=Crn=n!r!(n-r)!C35=5!3!(5-3)!=1206×2=10Therefore there are 10 ways.

Mayank is going on a holiday trip. He wants to pack $3$ t-shirts from $5$ T-shirts he has. In how many ways can he make his choice

Find the number of ways.
Given: Total t-shirts are $5$ .
He wants to pack $3$ t-shirts.
A number of ways he can choose are.
Combination Formula $= {}^{n}C_{r} = \frac{n!}{r! (n - r)!}$
${}^{5}C_{3} = \frac{5!}{3! (5 - 3)!} = \frac{120}{6 \times 2} = 10$
Therefore there are $10$ ways.