On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are $20$ students in the class, the number of cards send by students is

{^{20} C}_{2}

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{^{20} P}_{2}

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2 \times {^{20} C}_{2}

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2 \times {^{20} P}_{2}

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Solution

The correct option is B ${^{20} P}_{2}$
Since there are 20 students, each of them will make 19 greeting cards. The total number of greeting cards will be
$∴, 20 \times 19 = 380$ which is equal to $^{20} P_{2} = \frac{20!}{(20 - 2)!}$
Therefore correct answer is $B$

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On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in the class, the number of cards send by students is

The correct option is B 20P2Since there are 20 students, each of them will make 19 greeting cards. The total number of greeting cards will be ∴, 20×19=380 which is equal to 20P2=20!(20−2)!Therefore correct answer is B

On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are $20$ students in the class, the number of cards send by students is

The correct option is B ${^{20} P}_{2}$
Since there are 20 students, each of them will make 19 greeting cards. The total number of greeting cards will be
$∴, 20 \times 19 = 380$ which is equal to $^{20} P_{2} = \frac{20!}{(20 - 2)!}$
Therefore correct answer is $B$