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Standard XII

Mathematics

Combination of r Things from n Things When All Are Not Different

Let m and n b...

Question

Let m and n be 2 digit numbers. The number of pairs (m,n) such that n can be subtracted from m without borrowing is

2350

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2425

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2475

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Solution

The correct option is D
2475

$a c b d ∴ (a, c) p a i r s = 1 + 2 + \dots \dots 9 = 45 1100 (b, d) p a i r s = 1 + 2 + 3 + \dots + 10 = 55 31, 2, 320, 1, 2 . . . . . . 91, 2 \dots 90, 1, \dots 9 ∴ T o t a l = 45 \times 55)$

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Let m and n be 2 digit numbers. The number of pairs (m,n) such that n can be subtracted from m without borrowing is

The correct option is D 2475 a c b d ∴(a,c)pairs=1+2+⋯⋯9=451 1 0 0 (b,d)pairs=1+2+3+⋯+10=553 1,2,3 2 0,1,2. .. .. .9 1,2⋯9 0,1,⋯9 ∴Total=45×55)

The correct option is D
2475

$a c b d ∴ (a, c) p a i r s = 1 + 2 + \dots \dots 9 = 45 1100 (b, d) p a i r s = 1 + 2 + 3 + \dots + 10 = 55 31, 2, 320, 1, 2 . . . . . . 91, 2 \dots 90, 1, \dots 9 ∴ T o t a l = 45 \times 55)$